Invariance of entropy for maps isotopic to Anosov

Pablo D. Carrasco, Cristina Lizana, Enrique Pujals, CARLOS VASQUEZ EHRENFELD

Research output: Contribution to journalArticlepeer-review

Abstract

We prove the topological entropy remains constant inside the class of partially hyperbolic diffeomorphisms of Td with simple central bundle (that is, when it decomposes into one dimensional sub-bundles with controlled geometry) and such that their induced action on H1 (Td) is hyperbolic. In absence of the simplicity condition we construct a robustly transitive counter-example.

Original languageEnglish
Pages (from-to)1612-1632
Number of pages21
JournalNonlinearity
Volume34
Issue number3
DOIs
StatePublished - Mar 2021
Externally publishedYes

Keywords

  • derived from Anosov
  • measures of maximal entropy
  • partial hyperbolicity
  • robustly transitive diffeomorphisms

Fingerprint Dive into the research topics of 'Invariance of entropy for maps isotopic to Anosov'. Together they form a unique fingerprint.

Cite this