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Dynamics, Ergodic Theory and Geometry

Dynamics, Ergodic Theory and Geometry

Dynamics, Ergodic Theory and Geometry

Boris Hasselblatt, Tufts University, Massachusetts
Mathematical Sciences Research Institute
April 2011
Paperback
9780521175418

    This volume contains surveys and research articles by leading experts in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; and ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this a fascinating look at the state of the art.

    • Many open problems
    • Combination of survey and research reports

    Product details

    April 2011
    Paperback
    9780521175418
    336 pages
    234 × 156 × 18 mm
    0.47kg
    Available

    Table of Contents

    • Foreword
    • 1. Quantitative symplectic geometry K. CIELIEBAK, HELMUT HOFER, J. LATSCHEV, aND F. SCHLENK
    • 2. Local rigidity of group actions: past, present, future David Fisher
    • 3. Le lemme d'Ornstein–Weiss d'après Gromov Fabrice Krieger
    • 4. Entropy of holomorphic and rational maps: a survey Shmuel Friedland
    • 5. Causes of stretching of Birkhoff sums and mixing in flows on surfaces Andrey Kochergin
    • 6. Solenoid functions for hyperbolic sets on surfaces Alberto A. Pinto and David A. Rand
    • 7. Random walks derived from billiards Renato Feres
    • 8. An aperiodic tiling using a dynamical system and Beatty sequences Stanley Eigen, Jorge Navarro, and Vidhu S. Prasad
    • 9. A Halmos–von Neumann theorem for model sets, and almost automorphic dynamical systems E. Arthur Robinson Jr.
    • 10. Problems in dynamical systems and related topics Boris Hasselblatt.
      Contributors
    • K. CIELIEBAK, HELMUT HOFER, J. LATSCHEV, F. SCHLENK, David Fisher, Fabrice Krieger, Shmuel Friedland, Andrey Kochergin, Alberto A. Pinto, David A. Rand, Renato Feres, Stanley Eigen, Jorge Navarro, Vidhu S. Prasad, E. Arthur Robinson Jr., Boris Hasselblatt