Local entropy theory of a random dynamical system

Local entropy theory of a random dynamical system / Anthony H. Dooley, Guohua Zhang.

In this paper the authors extend the notion of a continuous bundle random dynamical system to the setting where the action of \mathbb{R} or \mathbb{N} is replaced by the action of an infinite countable discrete amenable group. Given such a system, and a monotone sub-additive invariant family of rand...

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Bibliographic Details
Main Authors: Dooley, Anthony H., 1951- (Author), Zhang, Guohua, 1981- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2014]
Series:Memoirs of the American Mathematical Society ; no. 1099.
Subjects:
Ergodic theory.
Topological entropy.
Topological dynamics.
Ergodic theory
Topological dynamics
Topological entropy
Online Access:Click for online access
Table of Contents:
  • Chapter 1. Introduction Chapter 2. Infinite countable discrete amenable groups Chapter 3. Measurable dynamical systems Chapter 4. Continuous bundle random dynamical systems Chapter 5. Local fiber topological pressure Chapter 6. Factor excellent and good covers Chapter 7. A variational principle for local fiber topological pressure Chapter 8. Proof of main result Theorem 7.1 Chapter 9. Assumption $(\spadesuit)$ on the family $\mathbf {D}$ Chapter 10. The local variational principle for amenable groups admitting a tiling Følner sequence Chapter 11. Another version of the local variational principle Chapter 12. Entropy tuples for a continuous bundle random dynamical system Chapter 13. Applications to topological dynamical systems.

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