Dynamical Systems and Group Actions 1st Edition by Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets ISBN 978-0821869222 0821869221

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Product details: 

ISBN 10:  0821869221

ISBN 13: 978-0821869222

Author: Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets

This volume contains cutting-edge research from leading experts in ergodic theory, dynamical systems and group actions. A large part of the volume addresses various aspects of ergodic theory of general group actions including local entropy theory, universal minimal spaces, minimal models and rank one transformations. Other papers deal with interval exchange transformations, hyperbolic dynamics, transfer operators, amenable actions and group actions on graphs.

Table of contents: 

1. Hyperfinite Actions on Countable Sets and Probability Measure Spaces
   Abért Miklós and Elek Gábor

2. A Road to the Spectral Radius of Transfer Operators
   A. B. Antonevich, V. I. Baκhтин, and A. V. Lebedev

3. A Condition for Weak Mixing of Induced IETs
   Michael Boshernitzan

4. Every Countably Infinite Group Is Almost Ornstein
   Lewis Bowen

5. Fair Dice-Like Hyperbolic Systems
   Leonid A. Bunimovich

6. Complexity and Heights of Tori
   Gautam Chinta, Jay Jorgenson, and Anders Karlsson

7. Flows with Uncountable but Meager Group of Self-Similarities
   Alexandre I. Danilenko

8. The Universal Minimal Space of the Homeomorphism Group of a h-Homogeneous Space
   Eli Glasner and Yonatan Gutman

9. Generic Eigenvalues, Generic Factors and Weak Disjointness
   Wen Huang and Xiangdong Ye

10. Around King’s Rank-One Theorems: Flows and ℤⁿ-Actions
    Élise Janvresse, Thierry de la Rue, and Valery Ryzhikov

11. Random Walks on Random Horospheric Products
    Vadim A. Kaimanovich and Florian Sobieczky

12. Statistics of Gaps in the Sequence {n}
    Ya. G. Sinaï

13. Invariant Distributions for Interval Exchange Transformations
    William A. Veech

14. Notes on the Schreier Graphs of the Grigorchuk Group
    Yaroslav Vorobets

15. Minimal Models for Free Actions
    Benjamin Weiss

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Tags: Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets