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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
Sinai's Moscow Seminar on Dynamical Systems
Hardcover ISBN:  978-0-8218-0456-8
Product Code:  TRANS2/171
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3382-6
Product Code:  TRANS2/171.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-0456-8
eBook: ISBN:  978-1-4704-3382-6
Product Code:  TRANS2/171.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Sinai's Moscow Seminar on Dynamical Systems
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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
Hardcover ISBN:  978-0-8218-0456-8
Product Code:  TRANS2/171
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3382-6
Product Code:  TRANS2/171.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-0456-8
eBook ISBN:  978-1-4704-3382-6
Product Code:  TRANS2/171.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    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.

    Readership

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

  • Table of Contents
     
     
    • Chapters
    • O. N. Ageev and A. M. Stepin — Hierarchical coding and normal sequences
    • V. Arnold — On the number of flattening points on space curves
    • M. Bialy and L. Polterovich — Invariant tori and symplectic topology
    • M. Brin and Ya. Pesin — On Morse-Smale endomorphisms
    • L. A. Bunimovich — Continued fractions and geometric optics
    • N. I. Chernov — On statistical properties of chaotic dynamical systems
    • Ilya Goldsheid and Eugene Sorets — Lyapunov exponents of the Schrödinger equation with certain classes of ergodic potentials
    • B. M. Gurevich — Geometric interpretation of entropy for random processes
    • Michael Jakobson and Sheldon Newhouse — A two-dimensional version of the folklore theorem
    • K. Khanin and Y. Kifer — Thermodynamic formalism for random transformations and statistical mechanics
    • D. Y. Kleinbock and G. A. Margulis — Bounded orbits of nonquasiunipotent flows on homogeneous spaces
    • T. V. Lokot′ and L. D. Pustyl′nikov — On solutions of infinite-dimensional systems of ordinary differential equations originating in statistical mechanics
    • Alexander E. Mazel and Yurii M. Suhov — Ground states of a boson quantum lattice model
    • V. Oseledets — Fast “turbulent” dynamo for smooth maps on the two-torus
    • M. Soloveitchik — Mechanical background of Brownian motion
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
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.

Readership

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

  • Chapters
  • O. N. Ageev and A. M. Stepin — Hierarchical coding and normal sequences
  • V. Arnold — On the number of flattening points on space curves
  • M. Bialy and L. Polterovich — Invariant tori and symplectic topology
  • M. Brin and Ya. Pesin — On Morse-Smale endomorphisms
  • L. A. Bunimovich — Continued fractions and geometric optics
  • N. I. Chernov — On statistical properties of chaotic dynamical systems
  • Ilya Goldsheid and Eugene Sorets — Lyapunov exponents of the Schrödinger equation with certain classes of ergodic potentials
  • B. M. Gurevich — Geometric interpretation of entropy for random processes
  • Michael Jakobson and Sheldon Newhouse — A two-dimensional version of the folklore theorem
  • K. Khanin and Y. Kifer — Thermodynamic formalism for random transformations and statistical mechanics
  • D. Y. Kleinbock and G. A. Margulis — Bounded orbits of nonquasiunipotent flows on homogeneous spaces
  • T. V. Lokot′ and L. D. Pustyl′nikov — On solutions of infinite-dimensional systems of ordinary differential equations originating in statistical mechanics
  • Alexander E. Mazel and Yurii M. Suhov — Ground states of a boson quantum lattice model
  • V. Oseledets — Fast “turbulent” dynamo for smooth maps on the two-torus
  • M. Soloveitchik — Mechanical background of Brownian motion
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.