A local variational principle for the topological entropy

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34 Citations (Scopus)

Abstract

In this paper we introduce two notions of measure-theoretical entropy for covers and one notion of topological entropy for open covers. These notions extend the classical concept of measure-theoretical entropy of measurable partitions to measurable covers. Using these notions we prove a local variational principle for any given open cover.

Original languageEnglish
Pages (from-to)1601-1610
Number of pages10
JournalErgodic Theory and Dynamical Systems
Volume23
Issue number5
DOIs
Publication statusPublished - Oct 2003

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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