Dynamics, Ergodic Theory and Geometry

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ISBN: 9780521175418 | 0521175410
Cover: Paperback
Copyright: 4/28/2011

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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.

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Foreword
Quantitative symplectic geometry
Local rigidity of group actions: past, present, future
Le lemme d'Ornstein-Weiss d'aprÃ¿s
Entropy of holomorphic and rational maps: a survey
Causes of stretching of Birkhoff sums and mixing in flows on surfaces
Solenoid functions for hyperbolic sets on surfaces
Random walks derived from billiards
An aperiodic tiling using a dynamical system and Beatty sequences
A Halmos-von Neumann theorem for model sets, and almost automorphic dynamical systems
Problems in dynamical systems and related topics
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Dynamics, Ergodic Theory and Geometry

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