**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

1996; 247 pp; Hardcover

MSC: Primary 28; 58;

**Print ISBN: 978-0-8218-0456-8**

Product Code: TRANS2/171

Product Code: TRANS2/171

List Price: $130.00

AMS Member Price: $104.00

MAA Member Price: $117.00

**Electronic ISBN: 978-1-4704-3382-6
Product Code: TRANS2/171.E**

List Price: $122.00

AMS Member Price: $97.60

MAA Member Price: $109.80

# Sinai’s Moscow Seminar on Dynamical Systems

Share this page *Edited by *
*L. A. Bunimovich; B. M. Gurevich; Ya. B. Pesin*

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.

#### Readership

Graduate students and research mathematicians working in dynamical systems, ergodic theory, and statistical mechanics.

# Table of Contents

## Sinai's Moscow Seminar on Dynamical Systems

- Cover Cover11
- Frontispiece iv5
- Title page v6
- Copyright page vi7
- Contents vii8
- Foreword ix10
- Hierarchical coding and normal sequences 114
- On the number of flattening points on space curves 1124
- Invariant tori and symplectic topology 2336
- On Morse-Smale endomorphisms 3548
- Continued fractions and geometric optics 4558
- On statistical properties of chaotic dynamical systems 5770
- Lyapunov exponents of the Schrödinger equation with certain classes of ergodic potentials 7386
- Geometric interpretation of entropy for random processes 8194
- A two-dimensional version of the folklore theorem 89102
- Thermodynamic formalism for random transformations and statistical mechanics 107120
- Bounded orbits of nonquasiunipotent flows on homogeneous spaces 141154
- On solutions of infinite-dimensional systems of ordinary differential equations originating in statistical mechanics 173186
- Ground states of a boson quantum lattice model 185198
- Fast “turbulent” dynamo for smooth maps on the two-torus 227240
- Mechanical background of Brownian motion 233246
- Back Cover Back Cover1261