Effective uniqueness of Parry measure and exceptional sets in ergodic theory

Shirali Kadyrov

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)237-249
Number of pages13
JournalMonatshefte fur Mathematik
Volume178
Issue number2
DOIs
Publication statusPublished - Oct 13 2015

Keywords

  • Hausdorff dimension
  • Maximal entropy
  • Symbolic dynamics

ASJC Scopus subject areas

  • Mathematics(all)

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