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Local entropy theory of a random dynamical system
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eBook
Local entropy theory of a random dynamical system
2014
Overview
In this paper we extend the notion of a continuous bundle random dynamical system to the setting where the action of
Given such a system, and a monotone sub-additive invariant family of random
continuous functions, we introduce the concept of local fiber topological pressure and establish an associated variational principle,
relating it to measure-theoretic entropy. We also discuss some variants of this variational principle.
We introduce both
topological and measure-theoretic entropy tuples for continuous bundle random dynamical systems, and apply our variational principles to
obtain a relationship between these of entropy tuples. Finally, we give applications of these results to general topological dynamical
systems, recovering and extending many recent results in local entropy theory.
Publisher
American Mathematical Society
Subject
ISBN
9781470410551, 1470410559
