A variation on the variational principle and applications to entropy pairs

F. Blanchard*, E. Glasner, B. Host

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The variational principle states that the topological entropy of a topological dynamical system is equal to the sup of the entropies of invariant measures. It is proved that for any finite open cover there is an invariant measure such that the topological entropy of this cover is less than or equal to the entropies of all finer partitions. One consequence of this result is that for any dynamical system with positive topological entropy there exists an invariant measure whose set of entropy pairs is equal to the set of topological entropy pairs.

Original languageEnglish
Pages (from-to)29-43
Number of pages15
JournalErgodic Theory and Dynamical Systems
Volume17
Issue number1
DOIs
StatePublished - Feb 1997

Fingerprint

Dive into the research topics of 'A variation on the variational principle and applications to entropy pairs'. Together they form a unique fingerprint.

Cite this