Invariance of entropy for maps isotopic to Anosov

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

Research output: Contribution to journalArticlepeer-review


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
Issue number3
StatePublished - Mar 2021
Externally publishedYes


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

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