Dynamical systems : from crystal to chaos : proceedings of the conference in honor of Gerard Rauzy on his 60th birthday, Luminy-Marseille, France, 6-10 July 1998 / editors, J.-M. Gambaudo ... [and others].

Format:

Book

Contributor:

Gambaudo, Jean-Marc.

Rauzy, Gérard

Class of 1932 Fund.

Language:

English

Subjects (All):

Differentiable dynamical systems--Congresses.

Differentiable dynamical systems.

Chaotic behavior in systems--Congresses.

Chaotic behavior in systems.

Symbolic dynamics--Congresses.

Symbolic dynamics.

Genre:

Conference papers and proceedings.

Festschriften.

Physical Description:

xiii, 306 pages : illustrations ; 23 cm

Place of Publication:

Singapore ; River Edge, N.J. : World Scientific, [2000]

Summary:

This book focuses on the interactions between discrete and geometric dynamical systems, and between dynamical systems and theoretical physics and computer science. Accordingly, the contributions revolve around two main topics: (1) interaction between geometric and symbolic systems, with emphasis on tiling problems for quasicrystals, substitutions and their multidimensional generalizations, geodesic and horocycle flow, adic systems; (2) dynamical systems: geometry and chaos, with special interest in smooth ergodic theory, statistical and multifractal properties of chaotic systems, stability and turbulence in extended complex systems.

Contents:

Problem Session Dedicated to Gerard Rauzy / Christian Mauduit 1

Smooth Systems 21

Noise-driven Synchronization in Coupled Map Lattices / L. Baroni, R. Livi, A. Torcini 23

Complex Behavior in Extended Systems: Beyond the Lyapunov Exponent / M. Cencini, M. Falcioni, D. Vergni, A. Vulpiani 34

Extensive Entropies for Extended Systems / P. Collet 44

Identifying Features in the Presence of Competing Evidence. The Case of First-Language Acquisition / R. Fernandez, A. Galves 52

Classical Representation of 1D Tight-Binding Models / F. M. Izrailev 63

Generic Points via Large Deviation Theory / J. T. Lewis, C.-E. Pfister, W. G. Sullivan 73

To the Memory of Radu Orendovici / Ya. B. Pesin 85

Pattern Formation in Networks of Chaotic Spiking-Bursting Neurons / M. I. Rabinovich, J. J. Torres, P. Varona 89

Geometry, Dynamics and Thermodynamics / H. H. Rugh 98

Multistability in Dynamical Systems / R. Vilela Mendes 105

Symbolic Dynamics 115

Dimensions of Recurrence Times and Minimal Subshifts / H. Bruin 117

Beta-Integers as a Group / C. Burdik, C. Frougny, J.-P. Gazeau, R. Krejcar 125

Iteration of Maps by Primitive Substitutive Sequences / C. Holton, L. Q. Zamboni 137

On Periodic Expansions of Cubic Numbers and Rauzy Fractals / S. Ito 144

Recurrence Dimension in Toeplitz Subshifts / P. Kurka, A. Maass 165

Synchronization in Cellular Automata and Applications to Cryptography / M. Mejia, J. Urias 176

Cellular Automata and Continued Fractions / M. Mendes France, A. Sebbar 184

Irrational Numbers with Automaton-Generated Continued Fraction Expansion / M. Queffelec 190

Certain Partitions of a Lattice / J.-I. Tamura 199

A Constructible Set of Normals with Positive Measure / E. Ugalde 220

Geometric Systems 229

Report on the Dynamics of Certain Piecewise Isometries of the Torus / R. Adler, B. Kitchens, C. Tresser 231

A Self-Similar Example of a Piecewise Isometric Attractor / A. Goetz 248

Branched Coverings and Closed Geodesics in Flat Surfaces, with Applications to Billiards / E. Gutkin 259

Ergodicity of the Horocycle Flow / V. A. Kaimanovich 274

On the Arithmetic and Harmonic Means / T. Nowicki 287

Interval Translation Mappings / J. Schmeling, S. Troubetzkoy 291

Non-Integrability of Cylindric Billiards / N. Simanyi 303.

Local Notes:

Acquired for the Penn Libraries with assistance from the Class of 1932 Fund.

ISBN:

9810242174

OCLC:

45324008