Sinai’s Moscow Seminar on Dynamical Systems ( American Mathematical Society Translations - Series 2 )

Publication series :American Mathematical Society Translations - Series 2

Author: L. A. Bunimovich;B. M. Gurevich;Ya. B. Pesin  

Publisher: American Mathematical Society‎

Publication year: 1995

E-ISBN: 9781470433826

P-ISBN(Hardback):  9780821804568

Subject: O1 Mathematics

Keyword: 暂无分类

Language: ENG

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Sinai’s Moscow Seminar on Dynamical Systems

Description

This book is a collection of papers written by participants in the seminar of Ya. G. Sinai, which has for thirty years played the leading role in shaping the modern statistical and topological theory of dynamical systems. The seminar has served as the major place for new ideas and approaches in the ergodic theory of dynamical systems. These papers, written by internationally known mathematicians, represent the major part of the enormous variety of Sinai's scientific interests. The following topics are discussed: hyperbolic dynamical systems, limit theorems for dynamical systems with chaotic behavior, thermodynamic formalism, symbolic dynamics, symplectic geometry, statistical mechanics, and more. The book reflects the unique style of Sinai's school and its interest in various interconnections between ergodic theory and various other branches of mathematics and physics.

Chapter

Frontispiece

Title page

Copyright page

Contents

Foreword

Hierarchical coding and normal sequences

On the number of flattening points on space curves

Invariant tori and symplectic topology

On Morse-Smale endomorphisms

Continued fractions and geometric optics

On statistical properties of chaotic dynamical systems

Lyapunov exponents of the Schrödinger equation with certain classes of ergodic potentials

Geometric interpretation of entropy for random processes

A two-dimensional version of the folklore theorem

Thermodynamic formalism for random transformations and statistical mechanics

Bounded orbits of nonquasiunipotent flows on homogeneous spaces

On solutions of infinite-dimensional systems of ordinary differential equations originating in statistical mechanics

Ground states of a boson quantum lattice model

Fast “turbulent” dynamo for smooth maps on the two-torus

Mechanical background of Brownian motion

Back Cover

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