Author : Anthony H. Dooley
Publisher : American Mathematical Soc.
ISBN 13 : 1470410559
Total Pages : 118 pages
Book Rating : 4.51/5 ( download)
Book Synopsis Local Entropy Theory of a Random Dynamical System by : Anthony H. Dooley
Download or read book Local Entropy Theory of a Random Dynamical System written by Anthony H. Dooley and published by American Mathematical Soc.. This book was released on 2014-12-20 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the authors extend the notion of a continuous bundle random dynamical system to the setting where the action of R or 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 random continuous functions, they introduce the concept of local fiber topological pressure and establish an associated variational principle, relating it to measure-theoretic entropy. They also discuss some variants of this variational principle. The authors introduce both topological and measure-theoretic entropy tuples for continuous bundle random dynamical systems, and apply variational principles to obtain a relationship between these of entropy tuples. Finally, they give applications of these results to general topological dynamical systems, recovering and extending many recent results in local entropy theory.