Effective uniqueness of Parry measure and exceptio

Authors: Shirali Kadyrov

Publish Date: 2014/10/21

Volume: 178, Issue: 2, Pages: 237-249

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Abstract

It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy We prove an effective version of this statement and use it to estimate an upper bound for Hausdorff dimension of exceptional sets arising from dynamics

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