Non-rigidity of partially hyperbolic abelian -actions on tori

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that every genuinely partially hyperbolic -action by toral automorphisms can be perturbed in C1-topology, so that the resulting action is continuously conjugate, but not C1-conjugate, to the original one.

Original languageEnglish (US)
Pages (from-to)573-594
Number of pages22
JournalErgodic Theory and Dynamical Systems
Volume45
Issue number2
DOIs
StatePublished - Feb 1 2025

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics

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