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Dynamical Systems, Ergodic Theory, and Probability: in Memory of Kolya Chernov
 
Edited by: Alexander M. Blokh University of Alabama at Birmingham, Birmingham, AL
Leonid A. Bunimovich Georgia Institute of Technology, Atlanta, GA
Paul H. Jung Korea Advanced Institute of Science and Technology, Daejeon, South Korea
Lex G. Oversteegen University of Alabama at Birmingham, Birmingham, AL
Yakov G. Sinai Princeton University, Princeton, NJ
Dynamical Systems, Ergodic Theory, and Probability: in Memory of Kolya Chernov
eBook ISBN:  978-1-4704-4224-8
Product Code:  CONM/698.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Dynamical Systems, Ergodic Theory, and Probability: in Memory of Kolya Chernov
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Dynamical Systems, Ergodic Theory, and Probability: in Memory of Kolya Chernov
Edited by: Alexander M. Blokh University of Alabama at Birmingham, Birmingham, AL
Leonid A. Bunimovich Georgia Institute of Technology, Atlanta, GA
Paul H. Jung Korea Advanced Institute of Science and Technology, Daejeon, South Korea
Lex G. Oversteegen University of Alabama at Birmingham, Birmingham, AL
Yakov G. Sinai Princeton University, Princeton, NJ
eBook ISBN:  978-1-4704-4224-8
Product Code:  CONM/698.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6982017; 316 pp
    MSC: Primary 11; 37

    This volume contains the proceedings of the Conference on Dynamical Systems, Ergodic Theory, and Probability, which was dedicated to the memory of Nikolai Chernov, held from May 18–20, 2015, at the University of Alabama at Birmingham, Birmingham, Alabama.

    The book is devoted to recent advances in the theory of chaotic and weakly chaotic dynamical systems and its applications to statistical mechanics. The papers present new original results as well as comprehensive surveys.

    Readership

    Graduate students and research mathematicians interested in dynamical systems, ergodic theory, and probability.

  • Table of Contents
     
     
    • Articles
    • Leonid Bunimovich — N. I. CHERNOV (1956-2014)
    • Terry Adams and Joseph Rosenblatt — Joint coboundaries
    • P. Bálint, N. Chernov and D. Dolgopyat — Convergence of moments for dispersing billiards with cusps
    • Eleonora Catsigeras, Marcelo Cerminara and Heber Enrich — Weak pseudo-physical measures and Pesin’s entropy formula for Anosov $C^1$-diffeomorphisms.
    • C. Cox and R. Feres — No-slip billiards in dimension two
    • Carl P. Dettmann — How sticky is the chaos/order boundary?
    • Gregory Galperin and Mark Levi — Bouncing in gravitational field
    • Nicolai T. A. Haydn and Fan Yang — A derivation of the Poisson law for returns of smooth maps with certain geometrical properties
    • Konstantin Khanin and Saša Kocić — Rigidity for a class of generalized interval exchange transformations
    • Caleb C. Moxley and Nandor J. Simanyi — Homotopical complexity of a $3D$ billiard flow
    • Michael Jakobson — Mixing properties of some maps with countable Markov partitions
    • Ya. G. Sinai and I. Vinogradov — Eigenfunctions of Laplacians in some two-dimensional domains
    • Domokos Szász — Multidimensional hyperbolic billiards
    • Zhihong Xia and Pengfei Zhang — Homoclinic intersections for geodesic flows on convex spheres
    • Hong-Kun Zhang — Decay of correlations for billiards with flat points I: channel effects
    • Hong-Kun Zhang — Decay of correlations for billiards with flat points II: cusps effect
  • Additional Material
     
     
  • 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
Volume: 6982017; 316 pp
MSC: Primary 11; 37

This volume contains the proceedings of the Conference on Dynamical Systems, Ergodic Theory, and Probability, which was dedicated to the memory of Nikolai Chernov, held from May 18–20, 2015, at the University of Alabama at Birmingham, Birmingham, Alabama.

The book is devoted to recent advances in the theory of chaotic and weakly chaotic dynamical systems and its applications to statistical mechanics. The papers present new original results as well as comprehensive surveys.

Readership

Graduate students and research mathematicians interested in dynamical systems, ergodic theory, and probability.

  • Articles
  • Leonid Bunimovich — N. I. CHERNOV (1956-2014)
  • Terry Adams and Joseph Rosenblatt — Joint coboundaries
  • P. Bálint, N. Chernov and D. Dolgopyat — Convergence of moments for dispersing billiards with cusps
  • Eleonora Catsigeras, Marcelo Cerminara and Heber Enrich — Weak pseudo-physical measures and Pesin’s entropy formula for Anosov $C^1$-diffeomorphisms.
  • C. Cox and R. Feres — No-slip billiards in dimension two
  • Carl P. Dettmann — How sticky is the chaos/order boundary?
  • Gregory Galperin and Mark Levi — Bouncing in gravitational field
  • Nicolai T. A. Haydn and Fan Yang — A derivation of the Poisson law for returns of smooth maps with certain geometrical properties
  • Konstantin Khanin and Saša Kocić — Rigidity for a class of generalized interval exchange transformations
  • Caleb C. Moxley and Nandor J. Simanyi — Homotopical complexity of a $3D$ billiard flow
  • Michael Jakobson — Mixing properties of some maps with countable Markov partitions
  • Ya. G. Sinai and I. Vinogradov — Eigenfunctions of Laplacians in some two-dimensional domains
  • Domokos Szász — Multidimensional hyperbolic billiards
  • Zhihong Xia and Pengfei Zhang — Homoclinic intersections for geodesic flows on convex spheres
  • Hong-Kun Zhang — Decay of correlations for billiards with flat points I: channel effects
  • Hong-Kun Zhang — Decay of correlations for billiards with flat points II: cusps effect
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.