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Sinai’s Moscow Seminar on Dynamical Systems

Edited by: L. A. Bunimovich Georgia Institute of Technology
B. M. Gurevich Moscow State University
Ya. B. Pesin Pennsylvania State University
Available Formats:
Hardcover ISBN: 978-0-8218-0456-8
Product Code: TRANS2/171
List Price: $130.00 MAA Member Price:$117.00
AMS Member Price: $104.00 Electronic ISBN: 978-1-4704-3382-6 Product Code: TRANS2/171.E List Price:$122.00
MAA Member Price: $109.80 AMS Member Price:$97.60
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $195.00 MAA Member Price:$175.50
AMS Member Price: $156.00 Click above image for expanded view Sinai’s Moscow Seminar on Dynamical Systems Edited by: L. A. Bunimovich Georgia Institute of Technology B. M. Gurevich Moscow State University Ya. B. Pesin Pennsylvania State University Available Formats:  Hardcover ISBN: 978-0-8218-0456-8 Product Code: TRANS2/171  List Price:$130.00 MAA Member Price: $117.00 AMS Member Price:$104.00
 Electronic ISBN: 978-1-4704-3382-6 Product Code: TRANS2/171.E
 List Price: $122.00 MAA Member Price:$109.80 AMS Member Price: $97.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$195.00 MAA Member Price: $175.50 AMS Member Price:$156.00
• Book Details

American Mathematical Society Translations - Series 2
Volume: 1711996; 247 pp
MSC: Primary 28; 58;

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.

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

• Cover
• Frontispiece
• Title 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
• Request Review Copy
• Get Permissions
Volume: 1711996; 247 pp
MSC: Primary 28; 58;

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.

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

• Cover
• Frontispiece
• Title 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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