{"product_id":"9781470410551","title":"Local Entropy Theory of a Random Dynamical System","description":"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.","brand":"Anthony H. Dooley","offers":[{"title":"Default Title","offer_id":46776493343038,"sku":"9781470410551","price":0.0,"currency_code":"ZAR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4357\/7662\/products\/9781470410551_133f3266-0201-411a-806f-4cbc0020ca3b.jpg?v=1707476968","url":"https:\/\/exclusivebooks.co.za\/products\/9781470410551","provider":"Exclusive Books Online","version":"1.0","type":"link"}