Effective uniqueness of Parry measure and exceptional sets in ergodic theory

Shirali Kadyrov

doi:10.1007/s00605-014-0690-7

Effective uniqueness of Parry measure and exceptional sets in ergodic theory

Shirali Kadyrov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	237-249
Number of pages	13
Journal	Monatshefte fur Mathematik
Volume	178
Issue number	2
DOIs	https://doi.org/10.1007/s00605-014-0690-7
Publication status	Published - Oct 13 2015

Keywords

Hausdorff dimension
Maximal entropy
Symbolic dynamics

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/s00605-014-0690-7

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title = "Effective uniqueness of Parry measure and exceptional sets in ergodic theory",

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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KW - Symbolic dynamics

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