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Geometric and Probabilistic Structures in Dynamics
 
Edited by: Keith Burns Northwestern University, Evanston, IL
Dmitry Dolgopyat University of Maryland, College Park, MD
Yakov Pesin Pennsylvania State University, University Park, PA
Front Cover for Geometric and Probabilistic Structures in Dynamics
Available Formats:
Electronic ISBN: 978-0-8218-8148-4
Product Code: CONM/469.E
340 pp 
List Price: $105.00
MAA Member Price: $94.50
AMS Member Price: $84.00
Front Cover for Geometric and Probabilistic Structures in Dynamics
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  • Front Cover for Geometric and Probabilistic Structures in Dynamics
  • Back Cover for Geometric and Probabilistic Structures in Dynamics
Geometric and Probabilistic Structures in Dynamics
Edited by: Keith Burns Northwestern University, Evanston, IL
Dmitry Dolgopyat University of Maryland, College Park, MD
Yakov Pesin Pennsylvania State University, University Park, PA
Available Formats:
Electronic ISBN:  978-0-8218-8148-4
Product Code:  CONM/469.E
340 pp 
List Price: $105.00
MAA Member Price: $94.50
AMS Member Price: $84.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4692008
    MSC: Primary 37; 60; 70;

    This book presents a collection of articles that cover areas of mathematics related to dynamical systems. The authors are well-known experts who use geometric and probabilistic methods to study interesting problems in the theory of dynamical systems and its applications. Some of the articles are surveys while others are original contributions. The topics covered include: Riemannian geometry, models in mathematical physics and mathematical biology, symbolic dynamics, random and stochastic dynamics.

    This book can be used by graduate students and researchers in dynamical systems and its applications.

    Readership

    Graduate students and research mathematicians interested in dynamical systems and geometry.

  • Table of Contents
     
     
    • Articles
    • Victor Bakhtin and Yuri Kifer - Nonconvergence examples in averaging [ MR 2478463 ]
    • Werner Ballmann and Sergei Buyalo - Periodic rank one geodesics in Hadamard spaces [ MR 2478464 ]
    • Viviane Baladi and Masato Tsujii - Dynamical determinants and spectrum for hyperbolic diffeomorphisms [ MR 2478465 ]
    • Mike Boyle - Open problems in symbolic dynamics [ MR 2478466 ]
    • Henk Bruin and Michael Jakobson - New examples of topologically equivalent S-unimodal maps with different metric properties [ MR 2478467 ]
    • Dmitri Burago and Sergei Ivanov - A remark on the group of PL-homeomorphisms in dimension one [ MR 2478468 ]
    • Dmitry Dolgopyat - Fermi acceleration [ MR 2478469 ]
    • Patrick Eberlein - Riemannian 2-step nilmanifolds with prescribed Ricci tensor [ MR 2478470 ]
    • Giovanni Forni - On the Greenfield-Wallach and Katok conjectures in dimension three [ MR 2478471 ]
    • Mark Freidlin - Metastability and stochastic resonance for multiscale systems [ MR 2478472 ]
    • M. Gromov - Mendelian dynamics and Sturtevant’s paradigm [ MR 2478473 ]
    • S. Newhouse, M. Berz, J. Grote and K. Makino - On the estimation of topological entropy on surfaces [ MR 2478474 ]
    • S. P. Novikov - Dynamical systems and differential forms. Low dimensional Hamiltonian systems [ MR 2478475 ]
    • Mark Pollicott and Richard Sharp - Periodic orbits and holonomy for hyperbolic flows [ MR 2478476 ]
    • F. Rodriguez Hertz, M. A. Rodriguez Hertz and R. Ures - On existence and uniqueness of weak foliations in dimension 3 [ MR 2478477 ]
    • Yakov G. Sinai and Corinna Ulcigrai - A limit theorem for Birkhoff sums of non-integrable functions over rotations [ MR 2478478 ]
  • Additional Material
     
     
  • Request Review Copy
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Volume: 4692008
MSC: Primary 37; 60; 70;

This book presents a collection of articles that cover areas of mathematics related to dynamical systems. The authors are well-known experts who use geometric and probabilistic methods to study interesting problems in the theory of dynamical systems and its applications. Some of the articles are surveys while others are original contributions. The topics covered include: Riemannian geometry, models in mathematical physics and mathematical biology, symbolic dynamics, random and stochastic dynamics.

This book can be used by graduate students and researchers in dynamical systems and its applications.

Readership

Graduate students and research mathematicians interested in dynamical systems and geometry.

  • Articles
  • Victor Bakhtin and Yuri Kifer - Nonconvergence examples in averaging [ MR 2478463 ]
  • Werner Ballmann and Sergei Buyalo - Periodic rank one geodesics in Hadamard spaces [ MR 2478464 ]
  • Viviane Baladi and Masato Tsujii - Dynamical determinants and spectrum for hyperbolic diffeomorphisms [ MR 2478465 ]
  • Mike Boyle - Open problems in symbolic dynamics [ MR 2478466 ]
  • Henk Bruin and Michael Jakobson - New examples of topologically equivalent S-unimodal maps with different metric properties [ MR 2478467 ]
  • Dmitri Burago and Sergei Ivanov - A remark on the group of PL-homeomorphisms in dimension one [ MR 2478468 ]
  • Dmitry Dolgopyat - Fermi acceleration [ MR 2478469 ]
  • Patrick Eberlein - Riemannian 2-step nilmanifolds with prescribed Ricci tensor [ MR 2478470 ]
  • Giovanni Forni - On the Greenfield-Wallach and Katok conjectures in dimension three [ MR 2478471 ]
  • Mark Freidlin - Metastability and stochastic resonance for multiscale systems [ MR 2478472 ]
  • M. Gromov - Mendelian dynamics and Sturtevant’s paradigm [ MR 2478473 ]
  • S. Newhouse, M. Berz, J. Grote and K. Makino - On the estimation of topological entropy on surfaces [ MR 2478474 ]
  • S. P. Novikov - Dynamical systems and differential forms. Low dimensional Hamiltonian systems [ MR 2478475 ]
  • Mark Pollicott and Richard Sharp - Periodic orbits and holonomy for hyperbolic flows [ MR 2478476 ]
  • F. Rodriguez Hertz, M. A. Rodriguez Hertz and R. Ures - On existence and uniqueness of weak foliations in dimension 3 [ MR 2478477 ]
  • Yakov G. Sinai and Corinna Ulcigrai - A limit theorem for Birkhoff sums of non-integrable functions over rotations [ MR 2478478 ]
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