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 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
سب زمرہ:
سال:
2014
ناشر کتب:
Amer Mathematical Society
زبان:
english
صفحات:
118
ISBN 10:
1470410559
ISBN 13:
9781470410551
سیریز:
Memoirs of the American Mathematical Society 1099
فائل:
PDF, 1013 KB
IPFS:
,
english, 2014