% Encoding: UTF-8

@string{i3etc = {{IEEE} Transactions on computers}} 


@string{apl = {Applied Physics Letters}}

@string{cmp = {Communications of Mathematical Physics}}

@string{ibmrd = {{IBM} Journal of Research and Development}}

@string{ie3ted = {{IEEE} Transactions on electronic devices}}

@string{ie3tnn = {{IEEE} Transactions on neural networks}}

@string{jfm = {Journal of Fluid Mechanics}}

@string{jmp = {Journal of Mathematical Physics}}

@string{jpa = {Journal of Physics A: Mathematical and General}}

@string{jsp = {Journal of Statistical Physics}}

@string{jvacb = {Journal of Vacuum Science and Technology B}}

@string{lnm = {Lecture Notes in Mathematics}}

@string{non = {Nonlinearity}}

@string{phyd = {Physica D}}

@string{physd = {Physica D}}

@string{physletta = {Physics Letters A}}

@string{pla = {Physics Letters A}}

@string{pr = {Physical Review}}

@string{pra = {Physical Review A}}

@string{prb = {Physical Review B}}

@string{prd = {Physical Review D}}

@string{pre = {Physical Review E}}

@string{prl = {Physical Review Letters}}

@string{rmp = {Reviews of Modern Physics}}

@string{siamapp = {SIAM Journal of Applied Mathematics}}

@string{tams = {Transactions Amer.\ Math.\ Soc{.}}}

@Article{0.538,
  author =  {David Bensimon and others},
  title =   {Renormalization Group Analysis of the Global Structure of the Period-Doubling Attractor},
  journal = prA,
  year =    {1986},
  volume =  {33},
  pages =   {3622--3624}
}

@Article{1,
  author =  {B. Derrida and C. Itzykson and J. M. Luck},
  title =   {Oscillatory Critical Amplitudes in Hierarchical-Models},
  journal = {Communications In Mathematical Physics},
  year =    {1984},
  volume =  {94},
  pages =   {115--132}
}

@Article{10,
  author =  {K. R. Davies and M. L. Glasser and R. W. Davies},
  title =   {Periodic-Orbits Generated from Conformal-Mappings},
  journal = pla,
  year =    {1993},
  volume =  {177},
  pages =   {408--410}
}

@Article{11,
  author =  {J. M. Mao and K. A. Rapelje and S. J. Blodgettford and J. B. Delos},
  title =   {Photoabsorption Spectra of Atoms in Parallel Electric and Magnetic-Fields},
  journal = prA,
  year =    {1993},
  volume =  {48},
  pages =   {2117--2126}
}

@Article{12,
  author =  {A. Y. Abulmagd and K. Muller},
  title =   {Stochastic-Transition of Free Motion in Billiards with Borders Given by Equipotential Lines of the Diamagnetic Kepler-Problem},
  journal = prA,
  year =    {1992},
  volume =  {46},
  pages =   {7424--7430}
}

@Article{13,
  author =  {A. B. Eriksson and P. Dahlqvist},
  title =   {Stability Exchanges Between Periodic-Orbits in a Hamiltonian Dynamic System},
  journal = {Physical Review E},
  year =    {1993},
  volume =  {47},
  pages =   {1002--1006}
}

@Article{14,
  author =  {C. Grebogi and E. Ott and J. A. Yorke},
  title =   {Unstable Periodic-Orbits and the Dimensions of Multifractal Chaotic Attractors},
  journal = prA,
  year =    {1988},
  volume =  {37},
  pages =   {1711--1724}
}

@Article{15,
  author =  {Z. Kovacs and T. Tel},
  title =   {Scaling in Multifractals - Discretization of an Eigenvalue Problem},
  journal = prA,
  year =    {1989},
  volume =  {40},
  pages =   {4641--4646}
}

@Article{16,
  author =  {M. M. Sano},
  title =   {The Bifurcation of the Unstable Periodic-Orbits in Bounded and Unbounded {3-D}isk Billiards},
  journal = jpa,
  year =    {1994},
  volume =  {27},
  pages =   {4791--4803}
}

@Article{17,
  author =  {T. Takami},
  title =   {Quantum-Classical Correspondence in Nonintegrable Systems with Continuous Parameter},
  journal = {Progress of Theoretical Physics Supplement},
  year =    {1994},
  volume =  {PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT},
  pages =   {303--309}
}

@Article{18,
  author =  {M. J. Feigenbaum and T. Tel and I. Procaccia},
  title =   {Scaling Properties of Multifractals As an Eigenvalue Problem},
  journal = prA,
  year =    {1989},
  volume =  {39},
  pages =   {5359--5372}
}

@Article{19,
  author =  {W. Breymann and C. Jung},
  title =   {Pruning in an Optical Memory},
  journal = {Europhysics Letters},
  year =    {1994},
  volume =  {25},
  pages =   {509--514}
}

@Article{20,
  author =  {R. T. Skodje and M. J. Davis},
  title =   {Statistical Rate Theory for Transient-Chemical Species - Classical Lifetimes from Periodic-Orbits},
  journal = {Chemical Physics Letters},
  year =    {1990},
  volume =  {175},
  pages =   {92--100}
}

@Article{21,
  author =  {P. Gaspard and G. Nicolis},
  title =   {Transport-Properties, {Lyapunov} Exponents, and Entropy per Unit Time},
  journal = prl,
  year =    {1990},
  volume =  {65},
  pages =   {1693--1696}
}

@Article{22,
  author =  {F. G. Xie and B. L. Hao},
  title =   {Counting the Number of Periods in One-Dimensional Maps with Multiple Critical-Points},
  journal = {Physica A},
  year =    {1994},
  volume =  {202},
  pages =   {237--263}
}

@Article{23,
  author =  {P. Jenkins and M. V. Daly and D. M. Heffernan},
  title =   {F(Alpha) Spectrum of Pruned Bakers Map},
  journal = {Zeitschrift fur Naturforschung Section A - A Journal of Physical Sciences},
  year =    {1993},
  volume =  {48},
  pages =   {1166--1172}
}

@Article{24,
  author =  {P. Cvitanovic},
  title =   {Periodic-Orbits as the Skeleton of Classical and Quantum Chaos},
  journal = phyD,
  year =    {1991},
  volume =  {51},
  pages =   {138--151}
}

@Article{25,
  author =  {B. Eckhardt},
  title =   {Escape Rates and Hausdorff Dimension of Julia Sets},
  journal = {Chaos Solitons \& Fractals},
  year =    {1993},
  volume =  {3},
  pages =   {387--394}
}

@Article{26,
  author =  {S. Tasaki and I. Antoniou and Z. Suchanecki},
  title =   {Deterministic Diffusion, de Rham Equation and Fractal Eigenvectors},
  journal = pla,
  year =    {1993},
  volume =  {179},
  pages =   {97--102}
}

@Article{27,
  author =  {H. H. Hasegawa and D. J. Driebe},
  title =   {Spectral Determination and Physical Conditions for a Class of Chaotic Piecewise-Linear Maps},
  journal = pla,
  year =    {1993},
  volume =  {176},
  pages =   {193--201}
}

@Article{28,
  author =  {H. H. Hasegawa and W. C. Saphir},
  title =   {Unitarity and Irreversibility in Chaotic Systems},
  journal = prA,
  year =    {1992},
  volume =  {46},
  pages =   {7401--7423}
}

@Article{29,
  author =  {T. Kobayashi and H. Fujisaka and W. Just},
  title =   {Thermodynamics and Multicorrelations of Intermittent Dynamics},
  journal = {Physical Review E},
  year =    {1993},
  volume =  {47},
  pages =   {3196--3205}
}

@Article{3,
  author =  {J. H. Luscombe and R. C. Desai},
  title =   {Statistical-Mechanics of a Fractal Lattice - Renormalization-Group Analysis of the Sierpinski Gasket},
  journal = prB,
  year =    {1985},
  volume =  {32},
  pages =   {1614--1627}
}

@Article{30,
  author =  {I. Antoniou and S. Tasaki},
  title =   {Generalized Spectral Decomposition of the Beta-Adic Bakers Transformation and Intrinsic Irreversibility},
  journal = {Physica A},
  year =    {1992},
  volume =  {190},
  pages =   {303--329}
}

@Article{31,
  author =  {W. Just and H. Fujisaka},
  title =   {Gibbs Measures and Power Spectra for Type-I Intermittent Maps},
  journal = phyD,
  year =    {1993},
  volume =  {64},
  pages =   {98--120}
}

@Article{32,
  author =  {M. Pollicott},
  title =   {The Picard Group, Closed Geodesics, and Zeta-Functions},
  journal = {Transactions of the American Mathematical Society},
  year =    {1994},
  volume =  {344},
  pages =   {857--872}
}

@Article{33,
  author =  {N. J. Balmforth and P. Cvitanovic and G. R. Ierley and E. A. Spiegel and G. Vattay},
  title =   {Advection of Vector-Fields by Chaotic Flows},
  journal = {Annals of the New York Academy of Sciences},
  year =    {1993},
  volume =  {706},
  pages =   {148--160}
}

@Article{34,
  author =  {D. Ruelle},
  title =   {Dynamical Zeta-Functions for Maps of the Interval},
  journal = {Bulletin of the American Mathematical Society},
  year =    {1994},
  volume =  {30},
  pages =   {212--214}
}

@Article{35,
  author =  {A. Eremenko and G. Levin and M. Sodin},
  title =   {On the Distribution of Zeros of a Ruelle Zeta-Function},
  journal = {Communications In Mathematical Physics},
  year =    {1994},
  volume =  {159},
  pages =   {433--441}
}

@Article{36,
  author =  {E. Aurell and A. D. Gilbert},
  title =   {Fast Dynamos and Determinants of Singular Integral-Operators},
  journal = {Geophysical and Astrophysical Fluid Dynamics},
  year =    {1993},
  volume =  {73},
  pages =   {5--32}
}

@Article{38,
  author =  {R. Artuso},
  title =   {Diffusive Dynamics and Periodic-Orbits of Dynamic-Systems},
  journal = pla,
  year =    {1991},
  volume =  {160},
  pages =   {528--530}
}

@Article{39,
  author =  {R. Stoop},
  title =   {Dependence of Phase-Transitions on Small Changes},
  journal = {Physical Review E},
  year =    {1993},
  volume =  {47},
  pages =   {3927--3931}
}

@Article{4,
  author =  {P. Cvitanovic and G. Vattay},
  title =   {Entire Fredholm Determinants for Evaluation of Semiclassical and Thermodynamical Spectra},
  journal = prl,
  year =    {1993},
  volume =  {71},
  pages =   {4138--4141}
}

@Article{5,
  author =  {H. Kantz and P. Grassberger},
  title =   {Repellers, Semi-Attractors, and Long-Lived Chaotic Transients},
  journal = phyD,
  year =    {1985},
  volume =  {17},
  pages =   {75--86}
}

@Article{6,
  author =  {H. Zhao and W. M. Zheng},
  title =   {Symbolic Analysis of the Henon Map at a = 1.4 and B = 0.3},
  journal = {Communications In Theoretical Physics},
  year =    {1993},
  volume =  {19},
  pages =   {21--26}
}

@Article{7,
  author =  {F. Mortessagne and O. Legrand and D. Sornette},
  title =   {Role of the Absorption Distribution and Generalization of Exponential Reverberation Law in Chaotic Rooms},
  journal = {Journal of the Acoustical Society of America},
  year =    {1993},
  volume =  {94},
  pages =   {154--161}
}

@Article{8,
  author =  {P. Cvitanovic and B. Eckhardt},
  title =   {Symmetry Decomposition of Chaotic Dynamics},
  journal = non,
  year =    {1993},
  volume =  {6},
  pages =   {277--311}
}

@Article{9,
  author =  {A. Wirzba},
  title =   {Test of the Periodic-Orbit Approximation in N-Disk Systems},
  journal = {Nuclear Physics A},
  year =    {1993},
  volume =  {560},
  pages =   {136--150}
}

@Article{AACI,
  author =  {Roberto Artuso and Erick Aurell and Predrag Cvitanovi{\'{c}}},
  title =   {Recyling of strange sets: {I. C}ycle expansions},
  journal = non,
  year =    {1990},
  volume =  {3},
  pages =   {325--359}
}

@Article{AG93,
  author =  {E. Aurell and A. D. Gilbert},
  title =   {Fast dynamos and determinants of singular intergral-opertaors},
  journal = {Geophysical and Astrophysical Fluid Dynamics},
  year =    {1993},
  volume =  {73},
  pages =   {5--32}
}

@article{AizenmanCoexistence,
	Author = {Michael Aizenman},
	Journal = {Communications of Mathematical Physics},
	Pages = {83--94},
	Title = {Translation invariance and instability of phase coexistence in the two dimensional {Ising} system},
	Volume = {73},
	Year = {1980}}

@Article{AizenmanNewman,
  author =  {M. Aizenman and others},
  title =   {Discontinuity of the magnetization in one-dimensional {$1/|x-y|^{2}$ I}sing and {P}otts models},
  journal = {Journal of Statistical Physics},
  year =    {1988},
  volume =  {50},
  pages =   {1--40}
}

@article{Akutsu,
	Author = {Yasuhiro Akutsu and Noriko Akutsu},
	Journal = {Physical Review Letters},
	Pages = {1189--1192},
	Title = {Interface tension, equilibrium crystal shape, and imaginary zeros of partition function: planar {I}sing system},
	Volume = {64},
	Year = {1990}}

@unpublished{AlbowitzPrivate,
	Author = {Mark J. Ablowitz},
	Note = {Private communication}}

@Article{alonso1,
  author =  {P. Gaspard and D. Alonso},
  title =   {{$\hbar$} expansion for the periodic-orbit quantization of hyperbolic systems},
  journal = {Physical Review A},
  year =    {1993},
  volume =  {47},
  pages =   {3468--3471}
}

@article{alonso2,
	Author = {P. Gaspard and D. Alonso},
	Journal = {Chaos},
	Pages = 601,
	Title = {{$\hbar$} expansion for the periodic-orbit quantization of chaotic systems},
	Volume = 3,
	Year = 1993}

@article{AlstromPrl,
	Author = {Preben Alstr{\o}m and Bo Christiansen and Mogens T. Levinsen},
	Journal = {Phys. Rev. Lett.},
	Pages = {1679--1682},
	Title = {Nonchaotic transition from quasiperiodicity to complete phase locking},
	Volume = {61},
	Year = {1988}}

@article{AndersonKondo,
	Author = {P. W. Anderson and G. Yuval},
	Journal = {J. Phys. C: Solid St. Phys.},
	Pages = {607--620},
	Title = {Some numerical results on the {K}ondo problem and the inverse square one dimensional {I}sing model},
	Volume = {4},
	Year = {1971}}

@article{AndersonPrebiotic,
	Author = {P. W. Anderson},
	Journal = {Proceeding of the National Academy of Science U.S.A.},
	Month = jun,
	Pages = {3386--3390},
	Title = {Suggested model for prebiotic evolution: the use of chaos},
	Volume = {80},
	Year = {1983}}

@article{AndersonYuvalPrbii,
	Author = {G. Yuval and P. W. Anderson},
	Journal = {Physical Review B},
	Pages = {1522--1528},
	Title = {Exact results for the Kondo problem: one-body theory and extension to finite temperature},
	Volume = {1},
	Year = {1970}}

@Article{AndersonYuvalPrl,
  author =  {P. W. Anderson and G. Yuval},
  title =   {Exact results in the {K}ondo problem: equivalence to a classical one-dimensional {C}oulomb gas},
  journal = {Physical Review Letters},
  year =    {1969},
  volume =  {23},
  pages =   {89--92}
}

@article{ArneodoCrossover,
	Author = {A. Arneodo and M. Holschneider},
	Journal = {Physical Review Letters},
	Pages = {2007--2010},
	Title = {Crossover effect in the {$f(\alpha)$} spectrum for quasiperiodic trajectories at the onset of chaos},
	Volume = {58},
	Year = {1987}}

@article{ArneodoDla,
	Author = {A. Arneodo and F. Argoul and E. Barcy and J. F. Muzzy and M. Tabard},
	Journal = prl,
	Month = jun,
	Pages = {3456--3459},
	Title = {Golden mean arithmetic in the fractal branching of diffusion-limited aggregates},
	Volume = {68},
	Year = {1992}}

@Article{AronsonCmp,
  author =  {D. G. Aronson and others},
  title =   {Bifurcation from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study},
  journal = {Comm. Math. Phys.},
  year =    {1982},
  volume =  {83},
  pages =   {303--354}
}

@article{ArtinMazur,
	Author = {E. Artin and B. Mazur},
	Journal = {{A}nn.\ Math{.}},
	Pages = {82--99},
	Title = {On periodic points},
	Volume = {81},
	Year = {1965}}

@article{ArtusoFisher,
	Author = {Roberto Artuso},
	Journal = {J.\ Phys.\ A{.}},
	Pages = {L923--L927},
	Title = {Logarithmic strange sets},
	Volume = {21},
	Year = {1988}}

@Article{AurellConvergence,
  author =  {E. Aurell},
  title =   {Convergence of Dynamic Zeta-Functions},
  journal = jsp,
  year =    {1990},
  volume =  {58},
  pages =   {967--995}
}

@article{AurellCovergence,
	Author = {Erik Aurell},
	Journal = {Journal of Statistical Physics},
	Pages = {967--995},
	Title = {Convergence of dynamical zeta functions},
	Volume = {58},
	Year = {1990}}

@article{BadiiLacunarity,
	Author = {R. Badii and A. Politi},
	Journal = physletta,
	Pages = {303--305},
	Title = {Intrinsic oscillations in measuring the fractal dimension},
	Volume = {104},
	Year = {1984}}

@article{BadiiOscillations,
	Author = {R. Badii and A. Politi},
	Journal = pla,
	Pages = {303--305},
	Title = {Intrinsic oscillations in measuring the fractal dimensions},
	Volume = {104},
	Year = {1984}}

@book{BaiLinBook,
	Address = {Singapore},
	Editor = {Hao Bai-Lin},
	Publisher = {World Scientific},
	Title = {Chaos},
	Year = {1984}}

@article{BakerLongRange,
	Author = {George A. Baker},
	Journal = {Phys. Rev.},
	Pages = {1477--1484},
	Title = {One-dimensional order-disorder model which approaches a second order phase transition},
	Volume = {122},
	Year = {1961}}

@Article{BakII,
  author =  {T. Bohr and P. Bak and M. Jensen},
  title =   {Transition to Chaos by Interaction of Resonances in Dissipative Systems: II {Josephson} Junctions, Charge-Density Waves, and Standard Maps},
  journal = {Phys. Rev. A},
  year =    {1984},
  volume =  {30},
  pages =   {1970}
}

@book{BarnsleyFractalsEverywhere,
	Address = {San Diego},
	Author = {Michael Barnsley},
	Publisher = {Academic Press},
	Title = {Fractals Everywhere},
	Year = {1988}}

@article{Batta,
	Author = {J. Bhattacharjee and others},
	Journal = {Physical Review B},
	Pages = {3862},
	Volume = {24},
	Year = {1981}}

@unpublished{BauerEscape,
	Author = {Oliver Bauer and Ronnie Mainieri},
	Note = {In preparation},
	Title = {The convergence of chaotic integrals}}

@article{belmonte,
	Author = {A. Belmonte and M.J. Vinson and J.A. Glazier and G.H. Gunaratne and B.G. Kenny},
	Journal = {Physical Review Letters},
	Pages = {539--542},
	Title = {Trajectory scaling functions at the onset of chaos: experimental results},
	Volume = {61},
	Year = {1988}}

@article{Berge,
	Author = {M. Dubois and P. Berg{\'{e}}},
	Journal = {Physica Scripta},
	Pages = {159--162},
	Title = {Rotation number dependence at onset of chaos in free {R}ayleigh-{B\'{e}}nard convection},
	Volume = {33},
	Year = {1986}}

@article{BerryKKR,
	Author = {M. V. Berry},
	Journal = {Annals of Physics},
	Pages = {163--216},
	Title = {Quantizing a classically ergodic system: {S}inai's billiard and the {KKR} method},
	Volume = {131},
	Year = {1981}}

@book{BH86,
	Address = {New York},
	Author = {N. Bleistein and R.A. Handelsman},
	Publisher = {Dover},
	Title = {Asymptotic Expansions of Integrals},
	Year = 1986}

@article{Biafore,
	Author = {Michael Biafore},
	Journal = {Physica D},
	Number = {4},
	Pages = {415--433},
	Title = {Cellular automata for nanometer-scale computation},
	Volume = {70},
	Year = {1994}}

@book{Biggs,
	Address = {Cambridge},
	Author = {Norman Biggs},
	Publisher = {Cambridge University Press},
	Title = {Interaction models},
	Year = {1977}}

@Article{BK90,
  author =  {M. V. Berry and J. P. Keating},
  title =   {A rule for quantizing chaos},
  journal = {Journal of Physics A},
  year =    {1990},
  volume =  {23},
  number =  {21},
  pages =   {4839--4849}
}

@article{BohrLine,
	Author = {T. Bohr},
	Journal = {Phys. Rev. Lett.},
	Pages = {1737},
	Title = {Destruction of Invariant Tori as an Eigenvalue Problem},
	Volume = {54},
	Year = {1985}}

@Book{BookMead,
  title =     {Introduction to {VLSI} systems},
  publisher = {Addison-Wesley},
  year =      {1980},
  author =    {Carver Mead and Lynn Conway},
  address =   {Reading}
}

@book{bowen,
	Address = {Berlin},
	Author = {R. Bowen},
	Publisher = {Springer-Verlag},
	Series = {Lecture Notes in Mathematics},
	Title = {Equilibrium states and the ergodic theory of {A}nosov-diffeomorphisms},
	Volume = 470,
	Year = 1975}

@article{BowenAxiomA,
	Author = {R. Bowen},
	Journal = {Transactions Amer.\ Math.\ Soc{.}},
	Pages = {377--397},
	Title = {Periodic points and measure for axiom-{A} diffeomorphisms},
	Volume = {154},
	Year = {1971}}

@book{BowenShadow,
	Address = {Providence, RI},
	Author = {R. Bowen},
	Publisher = {American Mathematical Society},
	Title = {On axiom-{A} diffeomorphisms},
	Volume = {35},
	Year = {1978}}

@article{BoylandCircleMap,
	Author = {Phillip L. Boyland},
	Journal = {Comm. Math. Phys.},
	Pages = {353--381},
	Title = {Bifurcation od circle maps: {Arnol'd} tongues, bistability and rotation intervals},
	Volume = {106},
	Year = {1986}}

@misc{BroslKnot,
	Author = {R. Mainieri and B. Hasslacher},
	Note = {in preparation},
	Title = {Knot theory and dynamical systems}}

@article{Bryant,
	Author = {P. Bryant and C. Jeffries},
	Journal = {Physica D},
	Pages = {196},
	Title = {The Dynamics of Phase Locking and Points of Resonance in a Forced Magnetic Oscillator},
	Volume = {25},
	Year = {1987}}

@article{Burgonye,
	Author = {P. N. Burgonye},
	Journal = {Journal of Mathematical Physics},
	Pages = {1320--1326},
	Title = {Remarks on the combinatorial approach to the {I}sing problem},
	Volume = {4},
	Year = {1963}}

@article{ButtikerResistance,
	Author = {M. B{\"{u}}ttiker},
	Journal = prl,
	Number = {14},
	Pages = {1761--1764},
	Title = {Four terminal phase coherent conductance},
	Volume = {57},
	Year = {1986}}

@book{CG96,
	Address = {Berlin},
	Author = {Stephan Childress and Andrew D. Gilbert},
	Publisher = {Springer-Verlag},
	Series = {Lecture Notes in Physics. New series {M}.},
	Title = {Stretch, twist, fold: the fast dynamo},
	Volume = {M37},
	Year = 1995}

@article{ChhabraFofalpha,
	Author = {Ashvin B. Chhabra and Roderick V. Jensen and K. R. Sreenivasan},
	Journal = {Physical Review A},
	Pages = {4593--4611},
	Title = {Extraction of underlying multiplicative processes from multifractals via the thermodynamic formalism},
	Volume = {40},
	Year = {1989}}

@article{ChhabraPRL,
	Author = {Ashvin Chhabra and Roderick V. Jensen},
	Journal = prl,
	Pages = {1327--1330},
	Title = {Direct determination of the {$f(\alpha)$} singularity spectrum},
	Volume = {62},
	Year = {1989}}

@article{ChicagoFofa,
	Author = {Thomas C. Halsey and others},
	Journal = pra,
	Pages = {1141--1151},
	Title = {Fractal measures and their singularities: the characterization of strange sets},
	Volume = {33},
	Year = {1986}}

@article{Chou,
	Author = {S. Y. Chou and D. R. Allee and R. F. W. Pease and J. S. Harris {Jr.}},
	Journal = apl,
	Pages = {176--178},
	Title = {Observation of electron resonant tunneling in a lateral dual-gate resonant tunneling field-effect transistor},
	Volume = {55},
	Year = {176}}

@article{ChristosScaling,
	Author = {George A. Christos and Tony Gherghetta},
	Journal = prA,
	Month = jul,
	Number = {2},
	Pages = {898--907},
	Title = {Trajectory scaling function for the circle map the quasiperiodic route to chaos},
	Volume = {44},
	Year = {1991}}

@Unpublished{CK,
  author = {O. Cepas and J. Kurchan},
  title =  {Canonically invariant formulation of Langevin and {Fokker-Planck} equations},
  note =   {cond-mat/9706296}
}

@unpublished{CO94,
	Author = {P. Cvitanovi\'c and E. Ott},
	Note = {In preparation},
	Title = {Steady Fast Kinematic Dynamos: The Topological Entropy Bound and the Effect of Magnetic Field Diffusion}}

@Article{CV93,
  author =  {P. Cvitanovi\'c and G. Vattay},
  title =   {Entire Fredholm determinants for evaluation of semiclassical and thermodynamical spectra},
  journal = {Physical Review Letters},
  year =    {1993},
  volume =  {71},
  pages =   {4138--4141}
}

@article{Cvitanovic10,
	Author = {P. Cvitanovi{\'{c}}},
	Journal = {Physica D},
	Pages = {138--151},
	Title = {Periodic orbits as the skeleton of classical and quantum chaos},
	Volume = {51},
	Year = {1991}}

@book{CvitanovicBook,
	Address = {Bristol},
	Editor = {Predrag Cvitanovi{\'{c}}},
	Publisher = {Adam Hilger},
	Title = {Universality in chaos {$2^{\rm nd}$} edition},
	Year = {1989}}

@article{CvitanovicCycles,
	Author = {P. Cvitanovi\'{c}},
	Journal = prl,
	Pages = {2729--2732},
	Title = {Invariant measurment of starnge sets in term of cycles},
	Volume = {61},
	Year = {1988}}

@article{CvitanovicExtraction,
	Author = {Ditza Auerbach and Predrag Cvitanovi{\'{c}} and Jean-Pierre Eckmann and Gemunu Gunaratne},
	Journal = {Physical Review Letters},
	Number = {23},
	Pages = {2387--2389},
	Title = {Exploring chaotic motion through periodic orbits},
	Volume = {58},
	Year = {1987}}

@Article{CvitanovicFactorization,
  author =  {Predrag Cvitanovi{\'{c}} and Bruno Eckhardt},
  title =   {Symmetry Decomposition of Chaotic Dynamics},
  journal = {Nonlinearity},
  year =    {1993},
  volume =  {6},
  number =  {2},
  pages =   {277--311}
}

@article{CvitanovicFredholm,
	Author = {Predrag Cvitanovi{\'{c}}},
	Journal = phyD,
	Pages = {138--151},
	Title = {Periodic orbits as the skeleton of classical and quantum chaos},
	Volume = {51},
	Year = {1991}}

@article{CvitanovicHenon,
	Author = {Predrag Cvitanovi{\'{c}} and Gemunu H. Gunarate and Itamar Procaccia},
	Journal = {Physical Review A},
	Pages = {1503--1520},
	Title = {Topological and metric properties of {H\'{e}}non-type strange attractors},
	Volume = {38},
	Year = {1988}}

@article{CvitanovicLorentz,
	Author = {P. Cvitanovic and P. Gaspard and T. Schrieber},
	Journal = {Chaos},
	Month = mar,
	Title = {Cycle expansion for the {L}orentz gas},
	Year = {1992}}

@article{CvitanovicQMFredholm,
	Author = {Predrag Cvitanovi{\'c} and Per E. Rosenqvist and G{\'a}bor Vattay},
	Journal = {Nonlinearity},
	Number = {4},
	Pages = {619--636},
	Title = {A {F}redholm determinant for semiclassical quantization},
	Volume = {3},
	Year = {1993}}

@article{CvitanovicQuantization,
	Author = {Predrag Cvitanovi{\'{c}} and Bruno Eckhardt},
	Journal = prl,
	Pages = {823--826},
	Title = {Periodic-orbit quantization of chaotic system},
	Volume = {63},
	Year = {1989}}

@article{CvitanovicVattay,
	Author = {P. Cvitanovi{\'c} and G. Vattay},
	Journal = {Physical Review Letters},
	Pages = {4138--4141},
	Title = {Entire {F}redholm Determinants for Evaluation of Semiclassical and Thermodynamical Spectra},
	Volume = {71},
	Year = {1993}}

@proceedings{DamHu,
	Address = {New York},
	Editor = {H. Huffel Damgaard and A. Rosenblum},
	Publisher = {Plenum Press},
	Series = {NATO ASI series. Series B, Physics; v. 224},
	Title = {Probabilistic methods in quantum field theory and quantum gravity},
	Year = 1990}

@book{deBoorPractical,
	Address = {New York},
	Author = {C. de Boor},
	Publisher = {Springer-Verlag},
	Title = {A practical guide to splines},
	Year = {1978}}

@article{DobrushinRG,
	Author = {M. Cassandro and E. Olivieri},
	Journal = cmp,
	Pages = {255--269},
	Title = {Renormalization group and analyticity in one dimension: a proof of {Dobrushin's} theorem},
	Volume = {80},
	Year = {1981}}

@article{Dodo,
	Author = {A. Voros},
	Journal = {J. Phys. A},
	Pages = {685},
	Volume = {21},
	Year = {1988}}

@incollection{Domb13,
	Address = {London},
	Author = {A. J. Guttmann},
	Booktitle = {Phase transition and critical phenomena},
	Editor = {C. Domb and J. L. Lebowitz},
	Pages = {1--234},
	Publisher = {Academic Press},
	Title = {Asymptotic analysis of power series expansions},
	Volume = {13},
	Year = {1989}}

@article{dynamo,
	Author = {N.J.~Balmforth and P.~Cvitanovi\'c and G.R.~Ierley and E.A.~Spiegel and G.~Vattay},
	Journal = {Annals of New York Academy of Sciences},
	Note = {Volume entitled {\em Stochastic Processes in Astrophysics}},
	Pages = 148,
	Title = {Advection of vector fields by chaotic flows},
	Volume = 706,
	Year = 1993}

@book{DysonFiveYear,
	Address = {New York},
	Author = {F. Dyson},
	Note = {See the chapter ``Quick is beautiful''},
	Publisher = {Harper {\&} Row},
	Title = {Infinite in all directions},
	Year = {1988}}

@article{DysonTransition,
	Author = {Freeman J. Dyson},
	Journal = {Communications of Mathematical Physics},
	Pages = {91--107},
	Title = {Existence of a phase transition in a one-dimensional {I}sing ferromagnet},
	Volume = {12},
	Year = {1969}}

@incollection{EckeComo,
	Address = {New York},
	Author = {R. E. Ecke},
	Booktitle = {Chaos, order, and patterns},
	Editor = {R. Artuso and P. Cvianovi{\'{c}} and G. Casati},
	Pages = {77--108},
	Publisher = {Plenum},
	Series = {{NATO} {ASI} series},
	Title = {Quasiperiodicity, mode-locking, and universal scaling in {R}ayleigh-{B\`{e}}nard convection},
	Volume = {280},
	Year = {1991}}

@Article{EckeHaucke,
  author =  {H. Haucke and R. Ecke},
  title =   {Mode Locking and Chaos in {Rayleigh}-B\'{e}nard Convection},
  journal = {Physica D},
  year =    {1987},
  volume =  {25},
  pages =   {307}
}

@article{EckeMaenoPRL,
	Author = {R.E. Ecke and Y. Maeno and H. Haucke and J.C. Wheatley},
	Journal = {Physical Review Letters},
	Pages = {1567},
	Title = {Critical Dynamics near the Oscillatory Instability in {R}ayleigh-{B\'{e}}nard Convection},
	Volume = {53},
	Year = {1984}}

@InProceedings{eckeNATO,
  author =    {Robert Ecke},
  title =     {Quasiperiodicity, mode-locking, and universal scaling in {Rayleigh-B\'{e}}nard convection},
  booktitle = {NATO Advanced Study Institute - Chaos, orders, and patterns},
  year =      {1991},
  editor =    {Predrag Cvitanovi{\'{c}} and Roberto Artuso},
  address =   {New York and London},
  publisher = {Plenum},
  note =      {in press}
}

@Article{eckePLA,
  author =  {R.E. Ecke and I.G. Kevrekidis},
  title =   {Interactions of Resonances and Global Bifurcations in {Rayleigh}-B\'{e}nard Convection},
  journal = {Phys. Lett. A},
  year =    {1988},
  volume =  {131},
  pages =   {344}
}

@article{EckePra,
	Author = {R. Ecke and Ronnie Mainieri and T. Sullivan},
	Journal = {Physical Review A},
	Number = {12},
	Pages = {8103--8118},
	Title = {Universality in quasiperiodic {R}ayleigh-{B\'{e}}rnard convection},
	Volume = {44},
	Year = {1991}}

@article{EckeRayleigh,
	Author = {R. Ecke and Ronnie Mainieri and T. Sullivan},
	Journal = {Physical Review A},
	Number = {12},
	Pages = {8103--8118},
	Title = {Universality in quasiperiodic {R}ayleigh-{B\'{e}}rnard convection},
	Volume = {44},
	Year = {1991}}

@article{EckhardtEscape,
	Author = {Bruno Eckhardt},
	Journal = {Chaos, solitons, \& fractals},
	Number = {4},
	Pages = {387--394},
	Title = {Escape rates and {H}ausdorff dimension of {J}ulia sets},
	Volume = {3},
	Year = {1993}}

@article{Esaki,
	Author = {Leo Esaki},
	Journal = {The Physical Review},
	Pages = {603--605},
	Title = {New phenomenon in narrow {G}ermanium {{\it p-n\/}} junctions},
	Volume = {109},
	Year = {1958}}

@article{EsakiExperiment,
	Author = {L.L. Chang and L. Esaki and R. Tsu},
	Journal = {Applied Physics Letters},
	Pages = {593--595},
	Title = {Resonant tunneling in semiconductor double barriers},
	Volume = {24},
	Year = {1974}}

@article{Experiment,
	Author = {A. Belmonte and Michael J. Vinson and James A. Glazier and Gemunu H. Gunaratne and Brian G. Kenny},
	Journal = {Physical Review Letters},
	Number = {5},
	Pages = {539--542},
	Title = {Trajectory scaling functions at the onset of chaos: experimental results},
	Volume = {61},
	Year = {1988}}

@misc{EzraHelium,
	Author = {G. S. Ezra and K. Richter and G. Tanner and D. Wintgen},
	Month = jun,
	Note = {Max Planck Institut, Heidelberg, preprint},
	Title = {Semiclassical cycle expansion for the {H}elium atom},
	Year = {1991}}

@article{FannesSpinBoson,
	Author = {M. Fannes and B. Nachtergaele},
	Journal = jmp,
	Pages = {2288--2293},
	Title = {Translating the spin-boson model into a classical system},
	Volume = {29},
	Year = {1988}}

@Article{FarmerDimension,
  author =  {J. D. Farmer and Edward Ott and James A. Yorke},
  title =   {The Dimension of Chaotic Attractors},
  journal = phyD,
  year =    {1983},
  volume =  {7},
  pages =   {153--180}
}

@article{FarmerReconstruction,
	Author = {N. H. Packard and J. P. Crutchfield and J. D. Farmer and R. S. Shaw},
	Journal = {Physical Review Letters},
	Pages = {712 -- 716},
	Title = {Geometry from a time series},
	Volume = {45},
	Year = {1980}}

@book{FatRussian,
	Address = {Orlando},
	Author = {I. S. Gradshteyn and I. M. Ryzhik},
	Publisher = {Academic Press},
	Title = {Table of integrals, series, and products (corrected and enlarged edition)},
	Year = {1980}}

@article{FeigenbaumCircleMap,
	Author = {M. Feigenbaum and L. P. Kadanoff and S. J. Shenker},
	Journal = phyD,
	Pages = {370--386},
	Title = {Quasiperiodicity in dissipative systems: a renormalization group analysis},
	Volume = {5},
	Year = {1982}}

@article{FeigenbaumCirclePresentation,
	Author = {Mitchell J. Feigenbaum},
	Journal = non,
	Pages = {577--602},
	Title = {Presentation functions and scaling function theory for circle maps},
	Volume = {1},
	Year = {1988}}

@article{FeigenbaumCMapPresentation,
	Author = {Mitchell J. Feigenbaum},
	Journal = {Nonlinearity},
	Pages = {577--602},
	Title = {Presentation functions and scaling function theory for circle maps},
	Volume = {1},
	Year = {1988}}

@Article{FeigenbaumMashed,
  author =  {Mitchell J. Feigenbaum and Mogens H. Jensen and Itamar Procaccia},
  title =   {Time Ordering and the Thermodynamics of Strange Sets: Theory and Experimental Tests},
  journal = prl,
  year =    {1986},
  volume =  {57},
  pages =   {1503--1506}
}

@article{FeigenbaumPerronFrobenius,
	Author = {Mitchell J. Feigenbaum and Itamar Procaccia and {Tama\'{a}s} {T\'{e}l}},
	Journal = prA,
	Pages = {5359--5372},
	Title = {Scaling properties of multifractals as an eigenvalue problem},
	Volume = {39},
	Year = {1989}}

@article{FeigenbaumPresentation,
	Author = {Mitchell J. Feigenbaum},
	Journal = jsp,
	Pages = {527--569},
	Title = {Presentation functions, fixed points, and a theory of scaling function dynamics},
	Volume = {52},
	Year = {1988}}

@article{FeigenbaumRenormalization,
	Author = {M. Feigenbaum},
	Journal = {Journal of Statistical Physics},
	Pages = {669},
	Title = {The universal metric properties of non-linear transformations},
	Volume = {19},
	Year = {1979}}

@article{FeigenbaumScaling,
	Author = {Mitchell J. Feigenbaum},
	Journal = cmp,
	Pages = {65 -- 86},
	Title = {The transition to aperiodic behavior in turbulent systems},
	Volume = {77},
	Year = {1980}}

@Article{FeigenbaumStrangeSets,
  author =  {Mitchell J. Feigenbaum},
  title =   {Some Characterizations of Strange Sets},
  journal = jsp,
  year =    {1987},
  volume =  {46},
  pages =   {919--924}
}

@article{FerryRent,
	Author = {David K. Ferry},
	Journal = {IEEE Circuits and Devices Magazine},
	Month = jul,
	Number = {4},
	Pages = {39--42},
	Title = {Interconnection lengths and {{\sc vlsi}}},
	Volume = {1},
	Year = {1985}}

@Article{FH,
  author =  {M. J. Feigenbaum and B. Hasslacher},
  title =   {Irrational decimations and path-integrals for external noise},
  journal = {Physical Review Letters},
  year =    {1982},
  volume =  {49},
  pages =   {605--609}
}

@article{FHP,
	Author = {U. Frisch and B. Hasslacher and Y. Pomeau},
	Journal = prl,
	Number = {14},
	Pages = {1505--1508},
	Title = {Lattice-gas automata for the {Navier-Stokes} equation},
	Volume = {56},
	Year = {1986}}

@Booklet{FieldThe,
  title =        {Field Theory},
  author =       {P. Cvitanovi\'c},
  howpublished = {{\sc nordita} lecture notes},
  address =      {Copenhagen},
  month =        jan,
  year =         {1983},
  note =         {Notes prepared by Ejnar Gyldenkerne}
}

@Article{FisherDroplet,
  author =  {M. E. Fisher},
  title =   {The theory of condensation and the critical point},
  journal = {Physics},
  year =    {1967},
  volume =  {3},
  pages =   {255--283}
}

@article{FisherExponents,
	Author = {Micheal E. Fisher and Shang-keng Ma and B. G. Nickel},
	Journal = {Physical Review Letters},
	Pages = {917--920},
	Title = {Critical Exponents for long range interactions},
	Volume = {29},
	Year = {1972}}

@article{FofAlpha,
	Author = {Thomas C. Halsey and Mogens H. Jensen and Leo Kadanoff and Itamar Procaccia and Boris I. Shraiman},
	Journal = {Physical Review A},
	Number = {2},
	Pages = {1141--1151},
	Title = {Fractal measures and their singularities: the characterization of strange sets},
	Volume = {33},
	Year = {1986}}

@article{FrohlichSpencer,
	Author = {J. Fr{\"{o}}hlich and T. Spencer},
	Journal = {Communications of Mathematical Physics},
	Pages = {87--101},
	Title = {The phase transition in the one-dimensional {I}sing model with {$1/r^{2}$} interaction energy},
	Volume = {84},
	Year = {1982}}

@article{Galin,
	Author = {L. A. Galin},
	Journal = {Dokl. Akad. Nauk. S.S.S.R.},
	Pages = {246--249},
	Volume = {47},
	Year = {1945}}

@article{GallavottiZetaCut,
	Author = {G. Gallavotti},
	Journal = {Accad.\ Lincei.\ Rend.\ Sc.\ fis.\ mat.\ e nat{.}},
	Pages = {309--317},
	Title = {Funzioni zeta ed insiemi basilari},
	Volume = {61},
	Year = {1976}}

@InCollection{gasp_hbar,
  author =    {P. Gaspard},
  title =     {{$\hbar$}-expansion for quantum trace formulas},
  booktitle = {Quantum chaos between order and disorder},
  publisher = {Cambridge University Press},
  year =      {1995},
  editor =    {G. Casati and B. Chirikov},
  pages =     {385--404}
}

@article{GlazierFofa,
	Author = {James A. Glazier and Gemunu Gunaratne and Albert Libchaber},
	Journal = prA,
	Pages = {523--530},
	Title = {{$f(\alpha)$} curves: experimental results},
	Volume = {37},
	Year = {1988}}

@article{Gollub,
	Author = {J.P. Gollub and S.V. Benson},
	Journal = {J. Fluid Mech.},
	Pages = {449},
	Title = {Many Routes to Turbulent Convection},
	Volume = {100},
	Year = {1980}}

@article{GrassbergerDimensions,
	Author = {Peter Grassberger},
	Journal = pla,
	Pages = {227--230},
	Title = {Generalized dimensions of strange attractors},
	Volume = {97},
	Year = {1983}}

@book{GrothendieckProduct,
	Address = {Providence},
	Author = {Alexandre Grothendieck},
	Publisher = {American Mathematical Society},
	Series = {Memoirs of the American Mathematical Society},
	Title = {Produits tensoriels topologiques et {\'e}spaces nucl{\'e}aires},
	Volume = {16},
	Year = {1955}}

@unpublished{GunarateThesis,
	Author = {Predrag Cvitanovi{\'{c}} and Gemunu Gunarate and Michael Vinson},
	Note = {preprint},
	Title = {On the mode locking universality for critical circle maps},
	Year = {1989}}

@book{gutbook,
	Address = {New-York},
	Author = {M. Gutzwiller},
	Publisher = {Springer-Verlag},
	Title = {Chaos in classical and quantum mechanics},
	Year = 1990}

@article{GutzwillerAKPFred,
	Author = {Martin C. Gutzwiller},
	Journal = phyD,
	Pages = {183--207},
	Title = {The quantization of a classically ergodic system},
	Volume = {5},
	Year = {1982}}

@book{GutzwillerBook,
	Address = {New-York},
	Author = {M. Gutzwiller},
	Publisher = {Springer-Verlag},
	Title = {Chaos in classical and quantum mechanics},
	Year = {1990}}

@article{GutzwillerTrace,
	Author = {Martin C. Gutzwiller},
	Journal = {Contemporary Mathematics},
	Pages = {215--251},
	Title = {Physics and {S}elbergs's trace formula},
	Volume = {53},
	Year = {1986}}

@article{GutzwillerTrace1,
	Author = {M. C. Gutzwiller},
	Journal = {Journal of Mathematical Physics},
	Pages = {1004},
	Volume = {10},
	Year = {1969}}

@article{GutzwillerTrace2,
	Author = {M. C. Gutzwiller},
	Journal = {Journal of Mathematical Physics},
	Pages = {1979--2000},
	Title = {Phase-integral approximation in momentum space and the bound states of an atom},
	Volume = {8},
	Year = {1967}}

@article{Hamann,
	Author = {P. W. Anderson and G. Yuval and D. R. Hamann},
	Journal = {Physical Review B},
	Pages = {4464--4473},
	Title = {Exact results in the {K}ondo problem {II}: scaling theory, qualitative correct solutions, and some new results one-dimensional classical statistical models},
	Volume = {1},
	Year = {1970}}

@incollection{Harary,
	Address = {London},
	Author = {P. W. Kasteleyn},
	Booktitle = {Graph theory and theoretical physics},
	Editor = {Frank Harary},
	Publisher = {Academic Press},
	Title = {Graph theory and crystal physics},
	Year = {1967}}

@article{HasslacherPathInt,
	Author = {Roger F. Dashen and Brosl Hasslacher and Andr{\'{e}} Neveu},
	Journal = {Physical Review D},
	Pages = {3424--3450},
	Title = {Particle spectrum in model field theories from semiclassical functional integral equations},
	Volume = {11},
	Year = {1975}}

@article{HauckeEcke,
	Author = {H. Haucke and R. Ecke},
	Journal = phyD,
	Pages = {307},
	Title = {Mode Locking and Chaos in {R}ayleigh-{B\'{e}}nard Convection},
	Volume = {25},
	Year = {1987}}

@article{HenonPoincare,
	Author = {M. Henon},
	Journal = {Physica D},
	Pages = {412--414},
	Title = {On the numerical computation of {P}oincar{\'e} maps},
	Volume = {5},
	Year = {1982}}

@article{HoleHatom,
	Author = {A. Holle and J. Main and G. Wiebusch and K. H. Welge},
	Journal = prl,
	Pages = {161},
	Volume = {61},
	Year = {1988}}

@techreport{HowisonComplex,
	Author = {S. D. Howison},
	Institution = {Oxford Mathematical Institute},
	Title = {Complex variable method in the {H}ele-{S}haw problem},
	Type = {preprint},
	Year = {1992}}

@article{HowisonCusp,
	Author = {S. D. Howison},
	Journal = siamapp,
	Pages = {20--26},
	Title = {Cusp development in the {H}ele-{S}haw flow with a free surface},
	Volume = {46},
	Year = {1986}}

@article{HowisonFingering,
	Author = {S. D. Howison},
	Journal = jfm,
	Pages = {4477--4478},
	Title = {Fingering in {H}ele-{S}haw cells},
	Volume = {167},
	Year = {1986}}

@article{Hutchinson,
	Author = {J. Hutchinson},
	Journal = {Indiana Univ.\ Math.\ J.},
	Pages = {713 -- 747},
	Title = {Fractals and self similarity},
	Volume = {30},
	Year = {1981}}

@incollection{Huyghens,
	Address = {Netherlands},
	Author = {C. Huyghens},
	Booktitle = {Ouevres Completes de Christian Huyghens},
	Editor = {M. Nijhoff},
	Pages = {243},
	Publisher = {Societe Hollandaise des Sciences},
	Title = {Letter to his father dated 26 {F}eburary 1665},
	Volume = {5},
	Year = {1893}}

@InCollection{Huyghens1893,
  author =    {C. Huyghens},
  title =     {Letter to his father dated 26~{F}eburary 1665},
  booktitle = {Ouevres Completes de Christian Huyghens},
  publisher = {Societe Hollandaise des Sciences},
  year =      {1893},
  editor =    {M. Nijhoff},
  volume =    {5},
  pages =     {243},
  address =   {Netherlands}
}

@book{Itzackson,
	Address = {Cambridge},
	Author = {Claude Itzykson and Jean-Michel Drouffe},
	Publisher = {Cambridge University Press},
	Title = {Statistical field theory},
	Year = {1989}}

@article{ItzyksonZeros,
	Author = {C. Itzykson and R. B. Pearson and J. B. Zuber},
	Journal = {Nuclear Physics B},
	Pages = {415--433},
	Title = {Distribution of zeros in {I}sing and gauge models},
	Volume = {220},
	Year = {1983}}

@incollection{KacLongRange,
	Address = {New York},
	Author = {Mark Kac},
	Booktitle = {{B}randeis {U}niversity summer institute in theoretical physics, 1966, vol.~1},
	Editor = {M. Chr{\'{e}}tien and E. P. Gross and S. Deser},
	Publisher = {{Gordon-Breach}},
	Title = {Mathematical mechanism of phase transition},
	Year = {1968}}

@article{KadanoffEscape,
	Author = {Leo P. Kadanoff and Chao Tang},
	Journal = {Proceeding of the National Academy of Science, USA},
	Pages = {1276 -- 1279},
	Title = {Escape from strange repellers},
	Volume = {81},
	Year = {1984}}

@article{KadanoffReview,
	Author = {D. Bensimon and L. P. Kadanoff and S. Liang and B. I. Shraiman and C. Tang},
	Journal = rmp,
	Pages = {977},
	Volume = {58},
	Year = {1986}}

@Article{KaiNonlinearity1,
  author =  {K. T. Hansen},
  title =   {Symbolic Dynamics. {1.~F}inite Dispersive Billiards},
  journal = non,
  year =    {1993},
  volume =  {6},
  pages =   {753--769}
}

@Article{KaiNonlinearity2,
  author =  {K. T. Hansen},
  title =   {Symbolic Dynamics. {2.~B}ifurcations in Billiards and Smooth Potentials},
  journal = non,
  year =    {1993},
  volume =  {6},
  pages =   {771--778}
}

@phdthesis{KaiThesis,
	Author = {Kai T. Hansen},
	School = {University of Oslo},
	Title = {Symbolic dynamics in chaotic systems},
	Year = {1993}}

@book{KanekoBook,
	Address = {Singapore},
	Author = {Kunihiko Kaneko},
	Publisher = {World Scientific},
	Title = {Collapse of Tori and genesis of chaos in dissipative systems},
	Year = {1986}}

@article{KauffmanNk,
	Author = {S. Kauffman and S. Levin},
	Journal = {Journal of theoretical Biology},
	Pages = {11--45},
	Title = {Towards a general theory of adaptive walks on rugged landscapes},
	Volume = {128},
	Year = {1987}}

@Article{KellerConvergence,
  author =  {G. Keller},
  title =   {On the Rate of Convergence to Equilibrium in One- Dimensional Systems},
  journal = {Communications In Mathematical Physics},
  year =    {1984},
  volume =  {96},
  pages =   {181--193}
}

@article{KellerEBK,
	Author = {Joseph B. Keller},
	Journal = {Annals of Physics},
	Pages = {180--188},
	Title = {Corrected {B}ohr-{S}ommer{\-}feld quantum conditions for nonseparable systems},
	Volume = {4},
	Year = {1958}}

@inproceedings{KellerGeometrical,
	Address = {New York},
	Author = {Joseph B. Keller},
	Booktitle = {Calculus of variations and its applications},
	Publisher = {McGraw-Hill},
	Series = {Proceedings of Symposia in applied mathematics},
	Title = {A geometrical theory of diffraction},
	Volume = {8},
	Year = {1958}}

@article{KellerOptical,
	Author = {Joseph B. Keller},
	Journal = {Journal of the optical society of America},
	Month = feb,
	Number = {2},
	Pages = {116--130},
	Title = {Geometrical theory of diffraction},
	Volume = {52},
	Year = {1962}}

@article{KeyesScience,
	Author = {Robert W. Keyes},
	Journal = {Science},
	Pages = {138--144},
	Title = {What makes a good computer device?},
	Volume = {230},
	Year = {1985}}

@book{KnuthConcrete,
	Address = {Reading},
	Author = {Ronald L. Graham and Donald E. Knuth and Oren Patashnik},
	Publisher = {Addison-Wesley},
	Title = {Concrete Mathematics},
	Year = {1989}}

@inbook{KnuthFibonacci,
	Address = {Reading, MA},
	Author = {Donald E. Knuth},
	Edition = {second},
	Note = {See exercise 1.2.8.34},
	Publisher = {Addison-Wesley},
	Title = {The art of computer programming, {vol.} 1. {F}undamental algorithms},
	Year = {1973}}

@article{KosterlitzRG,
	Author = {J. M. Kosterlitz},
	Journal = {Physical Review Letters},
	Pages = {1577--1580},
	Title = {Phase transitions in long-range ferromagnetic chains},
	Volume = {37},
	Year = {1976}}

@article{KramersMatrix1,
	Author = {H. A. Kramers and G. H. Wannier},
	Journal = {Physical Review},
	Pages = {252--262},
	Title = {Statistics of the two-dimensional ferromagnet. {P}art {I}},
	Volume = {60},
	Year = {1941}}

@article{KramersMatrix2,
	Author = {H. A. Kramers and G. H. Wannier},
	Journal = {Physical Review},
	Pages = {263--276},
	Title = {Statistics of the two-dimensional ferromagnet. {P}art {II}},
	Volume = {60},
	Year = {1941}}

@article{KT,
	Author = {L. Kadanoff and C. Tang},
	Journal = {Proceedings of the National Academy of Science, USA},
	Pages = 1276,
	Title = {Escape rate from strange repellers},
	Volume = 81,
	Year = 1984}

@article{KwokReview,
	Author = {Thomas Kwok},
	Journal = {Materials Chemistry and Physics},
	Pages = {176--188},
	Title = {Electromigration and reliability in submicron metallization and multilevel interconnections},
	Volume = {33},
	Year = {1993}}

@article{Lanczos,
	Author = {H. H. Roomany and H. W. Wyld and L. E. Holloway},
	Journal = prD,
	Pages = {1557--1563},
	Title = {New method for the {H}amiltonian formulation for lattice spin systems},
	Volume = {21},
	Year = {1980}}

@book{Landau,
	Address = {Reading},
	Author = {L. D. Landau and E. M. Lifshitz},
	Publisher = {Addison-Wesley},
	Title = {Statistical Physics},
	Year = {1969}}

@article{Landauer57,
	Author = {R. Landauer},
	Journal = {{IBM} Journal of Research and Development},
	Pages = {223--231},
	Title = {Spatial variation of currents and fields due to localized scatters in metallic conduction},
	Volume = {1},
	Year = {1957}}

@article{LandauerTruth,
	Author = {Rolf Landauer},
	Journal = {Physica A},
	Pages = {75--87},
	Title = {Advanced technology and truth in advertising},
	Volume = {168},
	Year = {1990}}

@article{LebowitzDimension,
	Author = {P. Collet and J. L. Lebowitz and A. Porzio},
	Journal = jsp,
	Pages = {609},
	Title = {The dimension spectrum of some dynamical systems},
	Volume = {47},
	Year = {1987}}

@article{LeeYangZeros,
	Author = {C. N. Yang and T. D. Lee},
	Journal = {Physical Review},
	Pages = {404--419},
	Title = {Statistical theory of equations of state and phase transitions. {I.} Theory of condensation},
	Volume = {87},
	Year = {1952}}

@article{Lent,
	Author = {Craig Lent and P. Douglas Tougaw and Wolfgang Porod and Gary H. Bernstein},
	Journal = {Nanotechnology},
	Pages = {49--57},
	Title = {Quantum cellular automata},
	Volume = {4},
	Year = {1993}}

@article{Levin,
	Author = {David Levin},
	Journal = {Inter.\ J.\ Computer Math{.}},
	Pages = {371--388},
	Title = {Development of non-linear transformations for improving convergence of sequences},
	Volume = {3B},
	Year = {1973}}

@article{LevyMcGill,
	Author = {Harold J. Levy and T. C. McGill},
	Journal = ie3tnn,
	Pages = {427--433},
	Title = {A feedforward artificial neural network based quantum effect vector matrix multiplier},
	Volume = {4},
	Year = {1993}}

@article{Likaharev,
	Author = {K. K. Likharev},
	Journal = ibmrd,
	Pages = {144--158},
	Title = {Correlated discrete transfer of single electrons in ultrasmall tunnel junctions},
	Volume = {32},
	Year = {1988}}

@book{LM94,
	Address = {Berlin},
	Author = {A. Lasota and M. MacKey},
	Publisher = {Springer-Verlag},
	Title = {Chaos, Fractals, and Noise; Stochastic Aspects of Dynamics},
	Year = 1994}

@article{MaenoEcke,
	Author = {Y. Maeno and H. Haucke and R.E. Ecke and J.C. Wheatley},
	Journal = {{J.\ Low Temp.\ Phys.}},
	Pages = {305},
	Title = {Oscillatory Convection in a Dilute {$^3$He}-Superfluid-{$^4$He} Solution},
	Volume = {59},
	Year = {1985}}

@Article{MainieriButterfly,
  author =  {Ronnie Mainieri},
  title =   {Cycle expansions with pruned orbits have branch-points},
  journal = {Physica D},
  year =    {1995},
  volume =  {83},
  pages =   {206--215}
}

@unpublished{MainieriEigenmad,
	Author = {Ronnie Mainieri},
	Note = {In preparation},
	Title = {Eigenvalue convergence in quantum chaos}}

@article{MainieriExperiment,
	Author = {Ronnie Mainieri and Timothy S. Sullivan and Robert E. Ecke},
	Journal = {Physical Review Letters},
	Pages = {2357--2360},
	Title = {Two-parameter study of the quasi-periodic route to chaos in {$^3$He}-superfluid-{$^4$He} mixtures},
	Volume = {63},
	Year = {1989}}

@unpublished{MainieriGeometrization,
	Author = {Ronnie Mainieri},
	Note = {Los Alamos preprint LAUR 92-3665.},
	Title = {Geometrization of spin systems using cycle expansions}}

@article{MainieriKondo,
	Author = {Ronnie Mainieri},
	Journal = {Physical Review A},
	Pages = {3580},
	Title = {Thermodynamic zeta functions for {I}sing models with long range interactions},
	Volume = {45},
	Year = {1992}}

@article{mainieriPRA,
	Author = {Ronnie Mainieri},
	Journal = {Physical Review E},
	Number = {2},
	Pages = {898--903},
	Title = {Difficulties in using averaged orbits be used to extract scaling functions},
	Volume = {48},
	Year = {1993}}

@article{MainieriPRL,
	Author = {R. Mainieri and T.S. Sullivan and R.E. Ecke},
	Journal = {Phys. Rev. Lett.},
	Pages = {2357},
	Title = {Two-Parameter Study of the Quasiperiodic Route to Chaos in Convecting$^3$He-Superfluid-$^4$He Mixtures},
	Volume = {63},
	Year = {1989}}

@article{MainieriPRM,
	Author = {Ronnie Mainieri},
	Journal = {Physical Review Letters},
	Number = {13},
	Pages = {1965--1968},
	Title = {Zeta function for the {L}yapunov exponent of a product of random matrices},
	Volume = {68},
	Year = {192}}

@article{MainieriRandomC,
	Author = {Ronnie Mainieri},
	Journal = {Chaos},
	Number = {1},
	Pages = {91--97},
	Title = {Cycle expansion for the {L}yapunov exponent of a product of random matrices},
	Volume = {2},
	Year = {1992}}

@article{MainieriRandomP,
	Author = {R. Mainieri},
	Journal = {Physical Review Letters},
	Pages = {1965--1968},
	Title = {Zeta function for the {L}yapunov exponent of a product of random matrices},
	Volume = {68},
	Year = {1992}}

@article{MainieriReconstruction,
	Author = {Ronnie Mainieri and Robert E. Ecke},
	Journal = {Physics Letters A},
	Pages = {327--332},
	Title = {Phase shift in experimental trajectory scaling functions},
	Volume = {176},
	Year = {1993}}

@article{MandelbrotLacunarity,
	Author = {B. B. Mandelbrot},
	Journal = {C. R. Acad. Sci. A},
	Pages = {81},
	Title = {Something xxxxxxx},
	Volume = {288},
	Year = {1979}}

@book{Margolis,
	Address = {Cambridge},
	Author = {Tommaso Toffoli and Norman Margolus},
	Publisher = {{MIT} Press},
	Title = {Cellular automata machine: a new environment for modeling},
	Year = {1987}}

@article{Marra,
	Author = {R. Marra},
	Journal = pla,
	Pages = {41--44},
	Title = {Probabilistic Approach to the {N}avier-{S}tokes Equation},
	Volume = {148},
	Year = {1990}}

@article{MartinLofPureTM,
	Author = {D. B. Abraham and A. Martin-{L\"{o}f}},
	Journal = {Communications of Mathematical Physics},
	Pages = {245--268},
	Title = {The transfer matrix for a pure phase in the two dimensional {I}sing model},
	Volume = {32},
	Year = {1973}}

@Article{Maurer,
  author =  {J. Maurer and A. Libchaber},
  title =   {{Rayleigh}-B\'{e}nard Experiment in Liquid Helium; Frequency Locking and the Onset of Turbulence},
  journal = {J. Physique Lett. (Paris)},
  year =    {1979},
  volume =  {40},
  pages =   {L-419}
}

@book{MayerBook,
	Address = {Berlin},
	Author = {Dieter H. Mayer},
	Publisher = {Springer-Verlag},
	Title = {The {R}uelle-{A}raki transfer operator in classical statistical mechanics},
	Year = {1980}}

@article{MaynardSelection,
	Author = {J. Maynard Smith},
	Journal = {Nature},
	Month = feb,
	Pages = {563--564},
	Title = {Natural Selection and the concept of a protein space},
	Volume = {225},
	Year = {1970}}

@incollection{McCollTypical,
	Author = {B. {McC}oll},
	Booktitle = {Proceedings of the Second {STACS} 1985},
	Pages = {231--242},
	Publisher = {Springer-Verlag},
	Series = {Lecture Notes in Computer Science},
	Title = {Planar circuits have short specifications},
	Volume = {182},
	Year = {1985}}

@article{Meurer,
	Author = {B. Meurer and D. Heitmann and K. Ploog},
	Journal = prl,
	Number = {9},
	Pages = {1371--1374},
	Title = {Single electron charging of quantum dot atoms},
	Volume = {68},
	Year = {1992}}

@incollection{MilnorThurston,
	Address = {Berlin},
	Author = {John Milnor and William Thurston},
	Booktitle = {Dynamical systems : proceedings of the special year held at the University of Maryland, College Park, 1986-87},
	Editor = {J. C. Alexander},
	Pages = {465--563},
	Publisher = {Springer-Verlag},
	Series = {Lecture notes in mathematics},
	Title = {On iterated maps of the interval},
	Volume = {1342},
	Year = {1988}}

@techreport{MineevDawson,
	Author = {Mark B. Mineev-Weinstein and Silvina Ponce Dawson},
	Institution = {Los Alamos National Laboratory},
	Number = {LAUR - 93-1127},
	Title = {A new class of nonsingular exact solutions for {L}aplacian pattern formation},
	Year = {1993}}

@article{MineevPhysica,
	Author = {M. B. Mineev},
	Journal = physD,
	Pages = {288--292},
	Title = {A finite polynomial solution of two-dimensional interface dynamics},
	Volume = {43},
	Year = {1990}}

@unpublished{MineevSchwarz,
	Address = {Boston},
	Author = {M. Mineev-Weinstein},
	Editor = {P. Pelce},
	Note = {Unpublished},
	Publisher = {Academic Press},
	Title = {Schwarz function and {L}aplacian growth},
	Year = {1992}}

@unpublished{MineevSub,
	Author = {M. B. Mineev-Weinstein},
	Note = {submitted for publication}}

@article{MobiusPrl,
	Author = {Nan-Xian Chen},
	Journal = {Physical Review Letters},
	Pages = {1193--1195},
	Title = {Modified {M\"{o}}bius formula and its application in physics},
	Volume = {64},
	Year = {1990}}

@article{MooreNonlinear,
	Author = {C. Moore},
	Journal = {Nonlinearity},
	Number = {2},
	Pages = {199},
	Title = {Generalized shifts: unpredictability and undecidability in dynamical systems},
	Volume = {4},
	Year = {1991}}

@Article{MooreUndecidable,
  author =  {C. Moore},
  title =   {UNPREDICTABILITY {AND} UNDECIDABILITY IN DYNAMICAL SYSTEMS},
  journal = {Physical Review Letters},
  year =    {1990},
  volume =  {64},
  pages =   {2354--2357}
}

@article{Morette51,
	Author = {C. Morette},
	Journal = {The Physical Review},
	Pages = {848--852},
	Title = {On the definition and approximation of the {F}eynman's path integral},
	Volume = {81},
	Year = {1951}}

@Article{msr,
  author =  {P. C. Martin and E. D. Siggia and H. A. Rose},
  title =   {Statistical Mechanics of Classical Systems},
  journal = {Physical Review A},
  year =    {1973},
  volume =  {8},
  number =  {1},
  pages =   {423--437}
}

@article{Mukhopadhyay,
	Author = {A. Mukhopadhyay},
	Journal = {{IEEE} Transactions on computers},
	Number = {6},
	Pages = {384--394},
	Title = {Hardware algorithms for nonnumeric computation},
	Volume = {28},
	Year = {1979}}

@misc{NatureNano,
	Note = {See the special issue of Nature on nanophysics},
	Year = {1992}}

@article{NewellIsing,
	Author = {G. F. Newell},
	Journal = {Physical Review},
	Pages = {444--449},
	Title = {Crystal statistics of a two-dimensional {I}sing lattice},
	Volume = {78},
	Year = {1950}}

@article{Odlyzko,
	Author = {A. M. Odlyzko},
	Journal = {Mathematics of Computation},
	Pages = {273--308},
	Title = {On the distribution of spacings between zeros of the zeta function},
	Volume = {48},
	Year = {1987}}

@Article{Onsager,
  author =  {Lars Onsager},
  title =   {Crystal statistics. {I. A} two-dimensional model with an order-disorder transition},
  journal = {Physical Review},
  year =    {1944},
  volume =  {65},
  pages =   {117--149}
}

@article{PaladinCorrelation,
	Author = {F. Christiansen and G. Paladin and H. H. Rugh},
	Journal = {Physical Review Letters},
	Number = {17},
	Pages = {2087--2090},
	Title = {Determination of correlation spectra in chaotic systems},
	Volume = {65},
	Year = {1990}}

@inproceedings{ParisiMultifractal,
	Author = {U. Frisch and G. Parisi},
	Booktitle = {Varanna School {LXXXVIII}},
	Editor = {M. Ghil and R. Benzi and G. Parisi},
	Pages = {84--88},
	Publisher = {{N}orth-{H}olland, {A}msterdam},
	Series = {International School of Physics ``{E}nrico {F}ermi''},
	Title = {On the singularity structure of fully developed turbulence},
	Year = {1985}}

@article{PeixotoModeLocking,
	Author = {M. C. Peixoto},
	Journal = {Topology},
	Pages = {101},
	Title = {Structural Stability on Two Dimensional Manifolds},
	Volume = {1},
	Year = {1962}}

@book{PelceBook,
	Address = {Boston},
	Editor = {P. Pelc{\'e}},
	Publisher = {Academic Press},
	Title = {Dynamics of curved fronts},
	Year = {1988}}

@article{PerelsonNk,
	Author = {C. A. MacKean and A. S. Perelson},
	Journal = {Proceedings of the National Academy of Science U.S.A.},
	Month = aug,
	Pages = {6191--6195},
	Title = {Protein evolution on rugged landscapes},
	Volume = {86},
	Year = {1989}}

@incollection{PerSemiclassical,
	Author = {B. Eckhardt and G. Russberg and P. Cvitanovi{\'c} and P. E. Rosenqvist and P. Scherer},
	Booktitle = {Quantum Chaos},
	Editor = {G. Casati and B. Chirikov},
	Publisher = {Cambridge University Press},
	Title = {Pinball scattering},
	Year = {1994}}

@book{PG97,
	Address = {Cambridge},
	Author = {P. Gaspard},
	Publisher = {Cambridge Univiversity Press},
	Title = {Chaos, Scattering and Statistical Mechanics},
	Year = 1997}

@book{PietroneroFractals,
	Address = {Amsterdam},
	Editor = {L. Pietronero and E. Tosatti},
	Publisher = {North-Holland},
	Title = {Fractals in physics},
	Year = {1986}}

@article{PKochina1,
	Author = {P. Ya. Polubarinova-Kochina},
	Journal = {Dokl. Akad. Nauk. SSSR},
	Pages = {254--257},
	Volume = {47},
	Year = {1945}}

@article{PKochina2,
	Author = {P. Ya. Polubarinova-Kochina},
	Journal = {Prikl. Matem. Mech.},
	Pages = {79--90},
	Volume = {9},
	Year = {1945}}

@Article{PNTK94:1212,
  author =  {A. Pentek and Z. Toroczkai and D. H. Mayer and T. Tel},
  title =   {A generalized kac model as a dynamical system},
  journal = {Zeitschrift fur Naturforschung Section A - A Journal of Physi cal Sciences},
  year =    {1994},
  volume =  {49},
  pages =   {1212--1214}
}

@Article{PNTK94:2026,
  author =  {A. Pentek and Z. Toroczkai and D. H. Mayer and T. Tel},
  title =   {Kac model from a dynamical-systems point-of-view},
  journal = {Physical Review E},
  year =    {1994},
  volume =  {49},
  pages =   {2026--2040}
}

@book{Poincare,
	Address = {Paris},
	Author = {H. Poincar{\'{e}}},
	Publisher = {Gauthier-Villars},
	Title = {Les methodes nouvelle de la m{\'{e}}canique c{\'{e}}leste},
	Year = {1892}}

@book{Polycrystals,
	Address = {New York},
	Author = {Ajit Ram Verma and P. Krishna},
	Publisher = {Wiley},
	Title = {Polymorphism and polytypism in crystals},
	Year = {1966}}

@unpublished{PredragAverages,
	Author = {Predrag Cvitanovi{\'c}},
	Note = {To appear in Physica D.},
	Title = {Dynamical averaging in terms of periodic orbits},
	Year = {1995}}

@article{ProcacciaFirstReturn,
	Author = {Itamar Procaccia and Stefan Thomae and Charles Tresser},
	Journal = {Phys. Rev. A},
	Pages = {1884--1900},
	Title = {First-return maps as a unified renormalization scheme for dynamical systems},
	Volume = {35},
	Year = {1987}}

@article{ProcacciaTransition,
	Author = {Dahn Katzen and Itamar Procaccia},
	Journal = {Physical Review Letters},
	Pages = {1169--1172},
	Title = {Phase transition in the thermodynamic formalism of multifractals},
	Volume = {58},
	Year = {1987}}

@Article{PW,
  author =  {G. Parisi and Yongshi Wu},
  title =   {Perturbation-theory without gauge fixing},
  journal = {Scientia Sinica},
  year =    {1981},
  volume =  {24},
  pages =   {483--496}
}

@book{PynnBook,
	Address = {New York},
	Editor = {R. Pynn and T. Riste},
	Publisher = {Plenum Press},
	Title = {Time dependent effects in dissolved materials},
	Year = {1987}}

@booklet{QCcourse,
	Address = {Niels Bohr Institute (Copenhagen)},
	Author = {P. Cvitanovi\'c and others},
	Howpublished = {{\tt http://www.nbi.dk/ChaosBook/}},
	Title = {Classical and Quantum Chaos: A Cyclist Treatise},
	Year = 1997}

@book{QChaosCollection,
	Address = {Singapore},
	Editor = {H. A. Cerdeira and R. Ramaswamy and M. C. Gutzwiller and G. Casati},
	Note = {A review of recent work on quantum chaos},
	Publisher = {World Scientific},
	Title = {Quantum Chaos},
	Year = {1991}}

@proceedings{QDot,
	Address = {Boston},
	Editor = {Mark A. Reed and Wiley P. Kirk},
	Publisher = {Academic Press},
	Title = {Nanostructure physics and fabrication: proceedings of the international symposium},
	Year = {1989}}

@book{QMComputerReview,
	Address = {Redwood City},
	Editor = {Wojciech Zurek},
	Publisher = {Addison-Wesley},
	Series = {Proceedings volume in the Santa Fe Institute studies in the sciences of complexity},
	Title = {Complexity, entropy, and the physics of information},
	Volume = {8},
	Year = {1990}}

@incollection{Rand,
	Address = {Singapore},
	Author = {David Rand},
	Booktitle = {Proceedings of the Eighth International Congress of Mathematical Physics},
	Editor = {M. Mebkhout and R. Seneor},
	Publisher = {World Scientific},
	Title = {Universality for the Breakdown of Dissipative Golden Invariant Tori},
	Year = {1987}}

@article{Randall,
	Author = {J. N. Randall and A. C. Seabaugh and J. H. Luscombe},
	Journal = jvacB,
	Number = {6},
	Pages = {2941--2944},
	Title = {Fabrication of lateral resonant tuneling devices},
	Volume = {10},
	Year = {1992}}

@article{RandCircleMap,
	Author = {S. Ostlund and others},
	Journal = {Physica D},
	Pages = {303--342},
	Title = {Universal properties of the transition from quasi-periodicity to chaos in dissipative systems},
	Volume = {7},
	Year = {1983}}

@Article{RandPressure,
  author =  {Thomas Bohr and David Rand},
  title =   {The entropy function for characteristic exponents},
  journal = phyD,
  year =    {1987},
  volume =  {25},
  pages =   {387--398}
}

@Article{Recycle1,
  author =  {Roberto Artuso and Erick Aurell and Predrag Cvitanovi{\'{c}}},
  title =   {Recyling of strange sets: {I. C}ycle expansions},
  journal = non,
  year =    {1990},
  volume =  {3},
  pages =   {325--359}
}

@Article{Recycle2,
  author =  {Roberto Artuso and Erick Aurell and Predrag Cvitanovi{\'{c}}},
  title =   {Recyling of strange sets: {II. A}pplications},
  journal = {Nonlinearity},
  year =    {1990},
  volume =  {3},
  pages =   {361--386}
}

@unpublished{Recycle3,
	Author = {Predrag Cvitanovi{\'{c}}},
	Note = {preprint},
	Title = {Recycling Chaos},
	Year = {1989}}

@article{ReedPlot,
	Note = {(where Mark published the plot)}}

@Article{reimann1,
  author =  {P. Reimann},
  title =   {Noisy one-dimensional maps near a crisis 1: Weak {Gauss}ian white and colored noise},
  journal = {Journal of Statistical Physics},
  year =    {1996},
  volume =  {82},
  pages =   {1467--1501}
}

@Article{reimann2,
  author =  {P. Reimann},
  title =   {Noisy one-dimensional maps near a crisis 2: General uncorrelated weak noise},
  journal = {Journal of Statistical Physics},
  year =    {1996},
  volume =  {85},
  pages =   {403--425}
}

@article{Rent,
	Author = {Bernard S. Landman and Roy L. Russo},
	Journal = i3etc,
	Note = {This article describes the experiments that Rent carried out at IBM},
	Pages = {1469--1479},
	Title = {On pin versus block relationship for partitions of logic graphs},
	Volume = {20},
	Year = {1971}}

@article{RichardsonShaw,
	Author = {S. Richardson},
	Journal = jfm,
	Pages = {609--618},
	Title = {{H}ele-{S}haw flow with a free boundary produced by the injection of fluid into a narrow channel},
	Volume = {56},
	Year = {1972}}

@article{Rok???,
	Author = {M. L. Roukes and A. Scherer and S. J. Allen and H. G. Craighead and others},
	Journal = prl,
	Pages = {3011},
	Volume = {59},
	Year = {1987}}

@article{RoukesJunctions,
	Author = {M. L. Roukes and A Scherer and B. P. Van der Gaag},
	Journal = {Physical Review Letters},
	Number = {10},
	Pages = {1154--1157},
	Title = {Are transport anomalies in ``electron waveguides'' classical?},
	Volume = {64},
	Year = {1990}}

@article{RoukesScattering,
	Author = {M. L. Roukes and O. L. Alerhand},
	Journal = prl,
	Number = {13},
	Pages = {1651--1654},
	Title = {Mesoscopic junctions, random scattering, and strange repellers},
	Volume = {65},
	Year = {1990}}

@article{RoukesTheory,
	Author = {M. L. Roukes and O. L. Alerhand},
	Journal = prl,
	Number = {13},
	Pages = {1651--1654},
	Title = {Mesoscopic junctions, random scattering, and strange repellers},
	Volume = {65},
	Year = {1990}}

@book{ruelle,
	Address = {Reading},
	Author = {David Ruelle},
	Publisher = {Addison-Wesley},
	Title = {Thermodynamic Formalism},
	Year = 1978}

@inproceedings{RuelleBRFormula,
	Address = {Boston},
	Author = {D. Ruelle},
	Booktitle = {Scaling and self similarity in physics, {P}rogress in {P}hysics 7},
	Editor = {J. {Fr\"{o}hlich}},
	Pages = {xxx--xxx},
	Publisher = {Birkhauser},
	Title = {Bowen's formula for the {H}ausdorff dimension of self-similar sets},
	Year = {1983}}

@article{RuelleExistence,
	Author = {David Ruelle},
	Journal = {Communications of Mathematical Physics},
	Pages = {267--278},
	Title = {Statistical mechanics of a one-dimensional lattice gas},
	Volume = {9},
	Year = {1968}}

@article{RuelleExpandingMaps,
	Author = {David Ruelle},
	Journal = {Communications of Mathematical Physics},
	Pages = {239--262},
	Title = {The thermodynamic formalism of expanding maps},
	Volume = {125},
	Year = {1989}}

@article{RuelleResonance,
	Author = {David Ruelle},
	Journal = prl,
	Pages = {405--407},
	Title = {Resonances of chaotic dynamical systems},
	Volume = {56},
	Year = {1986}}

@article{RuelleResonanceFlow,
	Author = {David Ruelle},
	Journal = {C. R. Acad. Sci. Paris {S\'{e}r} 1},
	Pages = {191--193},
	Title = {Flots qui ne m{\'{e}}langent pas exponentiellement},
	Volume = {296},
	Year = {1983}}

@article{RuelleReview,
	Author = {J. P. Eckmann and D. Ruelle},
	Journal = {Rev. Mod. Phys.},
	Pages = {617--656},
	Title = {Ergodic theory of chaos and strange attractors},
	Volume = {57},
	Year = {1985}}

@article{RuelleSMofMaps,
	Author = {D. Ruelle},
	Journal = {Transactions Amer.\ Math.\ Soc{.}},
	Pages = {237--251},
	Title = {Statistical mechanics on a compound set with {$Z^{\nu}$} action satisfying expansiveness and specification},
	Volume = {185},
	Year = {1973}}

@article{RuelleZeta,
	Author = {David Ruelle},
	Journal = {Invent.\ Math{.}},
	Pages = {231--242},
	Title = {Zeta-functions for expanding maps and {A}nosov flows},
	Volume = {34},
	Year = {1976}}

@article{RughCorrelation,
	Author = {Hans. H. Rugh},
	Journal = {Nonlinearity},
	Number = {6},
	Pages = {1237--1263},
	Title = {The correlation spectrum for Hyperbolic analytic maps},
	Volume = {5},
	Year = {1992}}

@Article{RughReality,
  author =  {H. H. Rugh},
  title =   {ON THE ASYMPTOTIC FORM {AND} THE REALITY OF SPECTRA OF PERRON-FROBENIUS},
  journal = {Nonlinearity},
  year =    {1994},
  volume =  {7},
  number =  {3},
  pages =   {1055--1066}
}

@phdthesis{RughThesis,
	Author = {Hans H. Rugh},
	School = {Neils Bohr Institute},
	Title = {Time evolution and correlations in chaotic dynamical systems},
	Year = {1992}}

@article{SakRG,
	Author = {J. Sak},
	Journal = {Physical Review B},
	Pages = {281--285},
	Title = {Recursion relations and fixed points for ferromagnets with long range interactions},
	Volume = {8},
	Year = {1973}}

@Article{Sarkar,
  author =  {Subir K. Sarkar},
  title =   {Multifractal Description of Singular Measures in Dynamical Systems},
  journal = prA,
  year =    {1987},
  volume =  {36},
  pages =   {4104--4106}
}

@unpublished{Scaling,
	Author = {Ronnie Mainieri and Robert Ecke},
	Note = {In preparation},
	Title = {Scaling functions in practice}}

@article{ShannonCircuits,
	Author = {Claude E. Shannon},
	Journal = {Bell Systems technical Journal},
	Pages = {59--98},
	Title = {The synthesis of two-terminal switching circuits},
	Volume = {28},
	Year = {1949}}

@article{ShannonNoise,
	Author = {C. E. Shannon},
	Journal = {Bell System Technical Journal},
	Pages = {379--423, 623--656},
	Title = {A mathematical theory of communication},
	Volume = {27},
	Year = {1948}}

@article{ShenkerScale,
	Author = {S. J. Shenker},
	Journal = {Physica D},
	Pages = {405--411},
	Title = {Scaling behavior of a map of the circle onto itself: emperical results},
	Volume = {5},
	Year = {1982}}

@article{ShenkerScaling,
	Author = {S. J. Shenker},
	Journal = {Physica D},
	Pages = {405--411},
	Title = {Scaling behavior in a map of a circle onto itself: empirical results},
	Volume = {5},
	Year = {1982}}

@Article{Sherman,
  author =  {S. Sherman},
  title =   {Combinatorial aspects of the {I}sing model for ferromagnetism. {I. A} conjecture of {F}eynman on paths and graphs},
  journal = {Journal of Mathematical Physics},
  year =    {1960},
  volume =  {1},
  pages =   {202--217}
}

@article{ShraimanSing,
	Author = {B. I. Shraiman and D. Bensimon},
	Journal = pra,
	Pages = {2840--2842},
	Title = {Singularities in nonlinear interface dynamics},
	Volume = {30},
	Year = {1984}}

@article{SimonSokal,
	Author = {Barry Simon and Alan D. Sokal},
	Journal = {Journal of Statistical Physics},
	Pages = {679--693},
	Title = {Rigorous entropy-energy arguments},
	Volume = {25},
	Year = {1981}}

@article{sinai,
	Author = {Ya. G. Sinai},
	Journal = {Russian Mathematical Surveys},
	Pages = 21,
	Title = {Gibbs measures in ergodic theory},
	Volume = 166,
	Year = 1972}

@article{SinaiGas,
	Author = {Ya. G. Sinai},
	Journal = {Usp. Mat. Nauk.},
	Pages = {141},
	Volume = {25},
	Year = {1970}}

@article{SinaiGibbsMeasures,
	Author = {Ya. Sinai},
	Journal = {Russ.\ Math.\ Surveys},
	Pages = {21--69},
	Title = {Gibbs measures in ergodic theory},
	Volume = {166},
	Year = {1972}}

@article{SinaiHerman,
	Author = {K. M. Khanin and {Ya.\ }G. Sinai},
	Journal = {Communications of Mathematical Physics},
	Pages = {89--101},
	Title = {A new proof of {M}. {H}erman's theorem},
	Volume = {112},
	Year = {1987}}

@Article{SinaiReview,
  author =  {E. B. Vul and Ya. G. Sinai and K. M. Khanin},
  title =   {Feigenbaum Universality and the Thermodynamic Formalism},
  journal = {Uspekhi Mat. Nauk.},
  year =    {1984},
  volume =  {39},
  pages =   {3--37}
}

@article{SmithAcceleration,
	Author = {David A. Smith and William F. Ford},
	Journal = {{SIAM} J.\ Number.\ Anal{.}},
	Pages = {223--240},
	Title = {Acceleration of linear and logarithmic convergence},
	Volume = {16},
	Year = {1979}}

@article{SokalSwendsen,
	Author = {Xiao-Jian Li and Alan D. Sokal},
	Journal = prl,
	Number = {8},
	Pages = {827--830},
	Title = {Rigorous lower bound on the dynamic exponents of the {S}wendsen-{W}ang algorithm},
	Volume = {63},
	Year = {1989}}

@article{SpiegelLacunarity,
	Author = {L. A. Smith and J.-D. Fournier and E. D. Spiegel},
	Journal = pla,
	Pages = {465--468},
	Title = {Lacunarity and intermittency in fluid turbulence},
	Volume = {114},
	Year = {1986}}

@book{StanleyForm,
	Address = {Derdrecht},
	Editor = {H. E. Stanley and N. Ostrowsky},
	Publisher = {Martinus Nijhoff},
	Title = {On growth and form},
	Year = {1985}}

@InCollection{StavansOmega,
  author =    {J. Stavans and S. Thomae and A. Libchaber},
  title =     {Experimental study of the attractor of a driven {R}ayleigh-{B\'{e}}rnard system},
  booktitle = {Dimensions and entropies in chaotic},
  publisher = {Springer},
  year =      {1986},
  editor =    {G. Mayer-Kress},
  pages =     {207--214},
  address =   {Berlin}
}

@Article{StoopTwo,
  author =  {R. Stoop and J. Parisi},
  title =   {Evaluation of Probabilistic and Dynamic Invariants from Finite Symbolic Substrings - Comparison Between 2~{A}pproaches},
  journal = phyD,
  year =    {1992},
  volume =  {58},
  pages =   {325--330}
}

@incollection{SullivanMaximal,
	Address = {New York},
	Author = {D. Sullivan},
	Booktitle = {Non-linear evolution and chaotic phenomena},
	Editor = {P. Zweifel and G. Gallavotti and M. Anile},
	Publisher = {Plenum},
	Title = {Differentiable structures determined by fractal like sets, determined by intrinsic scaling functions on dual {Cantor} sets},
	Year = {1987}}

@article{Susanata,
	Author = {Susanata Sen and Federico Capasso and Alfred Y. Cho and Debbie Sivco},
	Journal = ie3ted,
	Pages = {2185--2191},
	Title = {Resonant tunneling device with multiple negative differential resistance: digital and signal processing applications with reduced circuit complexity},
	Volume = {34},
	Year = {1987}}

@article{SwendsenFlip,
	Author = {Robert H. Swendsen and Jia-Sheng Wang},
	Journal = prl,
	Number = {2},
	Pages = {86--88},
	Title = {Nonuniversal critical dynamics in {M}onte {C}arlo Simulations},
	Volume = {58},
	Year = {1987}}

@incollection{TakensReconstruction,
	Address = {Berlin},
	Author = {Floris Takens},
	Booktitle = {Lecture Notes in Mathematics 898},
	Pages = {366--381},
	Publisher = {Springer},
	Title = {Detecting strange attractors in turbulence},
	Year = {1981}}

@Article{TelEigenvalue,
  author =  {T. Tel},
  title =   {Escape Rate from Strange Sets As an Eigenvalue},
  journal = prA,
  year =    {1987},
  volume =  {36},
  pages =   {1502--1505}
}

@article{TelTM,
	Author = {Zolt{\'{a}}n Kov{\'{a}}cs and Tam{\'{a}}s T{\'{e}}l},
	Journal = prl,
	Pages = {1617--1620},
	Title = {Thermodynamics of irregular scattering},
	Volume = {64},
	Year = {1990}}

@article{TheilerLacunarity,
	Author = {James Theiler},
	Journal = physletta,
	Pages = {195--200},
	Title = {Lacunarity in a best estimator of fractal dimension},
	Volume = {133},
	Year = {1988}}

@book{Thermodynamic,
	Address = {Reading},
	Author = {David Ruelle},
	Publisher = {Addison-Wesley},
	Title = {Thermodynamic Formalism},
	Year = {1978}}

@phdthesis{thesis,
	Author = {Ronnie Mainieri},
	School = {New York University},
	Title = {Thermodynamic zeta functions for {I}sing models with long range interactions},
	Year = {1990}}

@article{ThoulessTransition,
	Author = {D. J. Thouless},
	Journal = {Physical Review},
	Pages = {732--733},
	Title = {Long-range order in one-dimensional {I}sing systems},
	Volume = {187},
	Year = {1969}}

@article{Timp,
	Author = {G. Timp and A. M. Chang and others},
	Journal = prl,
	Pages = {732},
	Volume = {59},
	Year = {1987}}

@article{TranPrl,
	Author = {Phuoc X. Tran and D. W. Brenner and C. T. White},
	Journal = {Phys. Rev. Lett.},
	Pages = {3219},
	Title = {Complex route to chaos in velocity driven atoms},
	Volume = {65},
	Year = {1990}}

@book{UllmanBook,
	Address = {Rockville},
	Author = {Jeffery D. Ullman},
	Publisher = {Computer Science Press},
	Title = {Computational Aspects of {VLSI}},
	Year = {1984}}

@article{UllmanPlanar,
	Author = {R. W. Floyd and J. D. Ullman},
	Journal = {Journal of the {A.C.M.}},
	Number = {2},
	Pages = {603--622},
	Title = {The compilation of regular expressions into circuits},
	Volume = {29},
	Year = {1982}}

@Article{vattay_BS,
  author =  {Gabor Vattay},
  title =   {Bohr-{S}ommerfeld quantization of periodic orbits},
  journal = {Physical Review Letters},
  year =    {1996},
  volume =  {76},
  pages =   {1059--1062}
}

@unpublished{vattay_hbar,
	Author = {G. Vattay},
	Note = {Submitted to the LANL archive as {\tt chao-dyn/9406005}},
	Title = {Differential equations to compute {$\hbar$} corrections of the trace formula},
	Year = 1994}

@unpublished{vattay_noise,
	Author = {G. Vattay},
	Note = {Chapter in {\em Classical and Quantum Chaos: A Cyclist Treatise} by P. Cvitanovi\'c et al.},
	Title = {Noise and quantum corrections to trace formulas},
	Year = 1997}

@Article{vattay_ros,
  author =  {Gabor Vattay and Per E. Rosenqvist},
  title =   {Periodic orbit quantization beyond the semiclassical theory},
  journal = {Physical Review Letters},
  year =    {1996},
  volume =  {76},
  pages =   {335--338},
  note =    {{\tt chao-dyn/9509015}}
}

@misc{Vespel,
	Note = {Vespel is a graphite-loaded polyimide resin produced by Dupont, Wilmington, DE 19898}}

@Article{Vigfusson,
  author =  {J. O. Vigfusson},
  title =   {Improved upper bounds on the critical temperature of the {$1/n$ I}sing spin chain},
  journal = prB,
  year =    {1986},
  volume =  {34},
  pages =   {3466--3468}
}

@book{vk,
	Address = {Amsterdam},
	Author = {N. G. Van Kampen},
	Publisher = {North Holland},
	Title = {Stochastic Processes in Physics and Chemistry},
	Year = 1981}

@Book{VLSIReliability,
  title =     {{VLSI} Reliability},
  publisher = {Academic Press},
  year =      {1990},
  author =    {Anant G. Sabnis},
  volume =    {22},
  series =    {VLSI Eletronics Microstructure Science},
  address =   {San Diego}
}

@incollection{VLSIReview,
	Address = {Amsterdam},
	Author = {Thomas Lengauer},
	Booktitle = {Handbook of theoretical computer science},
	Chapter = {16},
	Editor = {J. van Leeuwen},
	Pages = {835--868},
	Publisher = {Elsevier Science},
	Title = {{VLSI} Theory},
	Volume = {A},
	Year = {1990}}

@incollection{vonNeumannUnreliable,
	Author = {J. von Neumann},
	Booktitle = {Automata Studies},
	Editor = {C. E. Shannon and J. {McC}arthy},
	Publisher = {Princeton University Press},
	Title = {Lectures},
	Year = {1956}}

@article{VorosCantDo,
	Author = {A. Voros},
	Journal = {J.~Phys.~A},
	Pages = {685--692},
	Title = {Unstable periodic orbits and semiclassical quantisation},
	Volume = {21},
	Year = {1988}}

@book{WaltersErgodic,
	Address = {New York},
	Author = {P. Walters},
	Publisher = {Springer-Verlag},
	Series = {Graduate Text in Mathematics},
	Title = {An introduction to ergodic theory},
	Volume = {79},
	Year = {1982}}

@article{WangCircle,
	Author = {Xiao-Wu Wang and Ronnie Mainieri and J. H. Lowenstein},
	Journal = prA,
	Number = {9},
	Pages = {5382--5389},
	Title = {Circle-map scaling in a two-dimensional setting},
	Volume = {40},
	Year = {1989}}

@article{WangLowenstein,
	Author = {Xiaowu Wang and J. H. Lowenstein},
	Journal = pra,
	Pages = {5721--5724},
	Title = {Scaling relations for thermodynamic functions of the circle maps},
	Volume = {41},
	Year = {1990}}

@article{WangPra,
	Author = {X. Wang and R. Mainieri and J.H. Lowenstein},
	Journal = {Phys. Rev. A},
	Pages = {5382},
	Title = {Circle Map Scaling in a Two-Dimensional Setting},
	Volume = {40},
	Year = {1989}}

@book{Wax,
	Address = {New York},
	Author = {N. Wax, editor},
	Note = {\PC{find reference to correlation matrix here!}},
	Publisher = {Dover},
	Title = {Selected Papers on Noise and Stochastic Processes},
	Year = 1954}

@incollection{WeinbergerSimulation,
	Address = {Reading},
	Author = {S. A. Kauffman and E. D. Weinberger and A. S. Perelson},
	Booktitle = {Theoretical Immunology, part one},
	Editor = {A. S. Perelson},
	Pages = {349--382},
	Publisher = {Addison-Wesley},
	Series = {SFI Studies in the Siences of Complexity},
	Title = {Maturation of the immune response via adaptive walks on affinity landscape},
	Year = {1988}}

@article{WilsonKondo,
	Author = {Kenneth G. Wilson},
	Journal = {Reviews of Modern Physics},
	Pages = {773},
	Title = {The renormalization group: critical phenomena and the {K}ondo problem},
	Volume = {47},
	Year = {1975}}

@book{WinogradBook,
	Address = {Cambridge},
	Author = {S. Winograd and J. D. Cowan},
	Publisher = {M.I.T. Press},
	Title = {Reliable computation in the presence of noise},
	Year = {1963}}

@Article{WintgenHatom,
  author =  {D. Wintgen},
  title =   {Connection between long-range correlations in quantum spectra and classical periodic orbits},
  journal = prl,
  year =    {1987},
  volume =  {58},
  number =  {16},
  pages =   {1589--1592}
}

@article{WintgenHe,
	Author = {G. S. Ezra and K. Richter and G. Tanner and D. Wintgen},
	Journal = {Chaos},
	Month = mar,
	Title = {Semiclassical cycle expansion for the Helium atom},
	Year = {1992}}

@article{WittenDla,
	Author = {T. A. Witten and L. M. Sander},
	Journal = prl,
	Pages = {1400--1403},
	Title = {Diffusion-limited aggregation, a kinetic critical phenomena},
	Volume = {47},
	Year = {1981}}

@Misc{WSJ,
  title =        {Intel factory to grow at cost of {\$}1~{b}illion},
  howpublished = {Wall Street Journal},
  year =         {Friday, 2 April 1993}
}

@article{YorkeDimensionInvariance,
	Author = {E. Ott and W. D. Withers and J. A. Yorke},
	Journal = jsp,
	Pages = {687 -- 697},
	Title = {Is the dimension of chaotic attractors invariant under coordinate changes?},
	Volume = {36},
	Year = {1984}}

@article{Zaslavsky,
	Author = {A. Zaslavsky and V. J. Goldman and D. C. Tsui and J. E. Cunningham},
	Journal = apl,
	Pages = {1408--1410},
	Title = {Resonant tunneling and intrinsic bistability in asymmetric double barrier heterostructures},
	Volume = {53},
	Year = {1988}}

@book{ZaslavskyBook,
	Address = {Cambridge},
	Author = {G. M. Zaslavsky and R. Z. Sagdeev and D. A. Usikov and A. A. Chernikov},
	Publisher = {Cmbridge University Press},
	Series = {Cambridge Nonlinear Science Series},
	Title = {Weak chaos and quasi regular patterns},
	Volume = {1},
	Year = {1991}}

@proceedings{ZooReview,
	Address = {Berlin},
	Editor = {Gunther Bauer and Friedemar Kucher and Helmut Heinrich},
	Publisher = {Springer-Verlag},
	Series = {Springer series in solid-state sciences},
	Title = {Low-dimensional electronic systems: new concepts.},
	Volume = {111},
	Year = {1992}}