Local Entropy Theory of a Random Dynamical System - Brossura

Dooley, Anthony H.; Zhang, Guohua

Brossura

ISBN 10: 1470410559 ISBN 13: 9781470410551

Casa editrice: Amer Mathematical Society, 2015

Riassunto

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.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 1470410559
• ISBN 13: 9781470410551
• Rilegatura: Copertina flessibile
• Numero di pagine: 106
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile