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Local Entropy Theory of a Random Dynamical System | | Anthony H. Dooley
; Guohua Zhang
; | | Date: |
1 Jun 2011 | | Abstract: | In this paper we introduce and discuss the notion of a continuous bundle
random dynamical system associated to an infinite countable discrete amenable
group action.
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 a variational principle for it, compared to
measure-theoretic entropy. We also discuss it in some special cases.
We apply these results to both topological and measure-theoretic entropy
tuples, obtain a variational relationship and give applications to general
topological dynamical systems, recovering and extending many recent results in
local entropy theory. | | Source: | arXiv, 1106.0150 | | Services: | Forum | Review | PDF | Favorites | |
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