Dynamical coherence and center bunching

Keith Burns*, Amie Wilkinson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

This paper discusses relationships among the basic notions that have been important in recent investigations of the ergodicity of volume-preserving partially hyperbolic diffeomorphisms. In particular we survey the possible definitions of dynamical coherence and discuss the relationship between dynamical coherence and center bunching.

Original languageEnglish (US)
Pages (from-to)89-100
Number of pages12
JournalDiscrete and Continuous Dynamical Systems
Volume22
Issue number1-2
DOIs
StatePublished - 2008

Keywords

  • Center bunching
  • Dynamical coherence
  • Partial hyperbolicity
  • Stable ergodicity

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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