Partially hyperbolic dynamics in dimension three

Pablo D. Carrasco, Federico Rodriguez-Hertz, Jana Rodriguez-Hertz, Raúl Ures

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Partial hyperbolicity appeared in the 1960s as a natural generalization of hyperbolicity. In the last 20 years, there has been great activity in this area. Here we survey the state of the art in some related topics, focusing especially on partial hyperbolicity in dimension three. The reason for this is not only that it is the smallest dimension in which non-degenerate partial hyperbolicity can occur, but also that the topology of -manifolds influences the dynamics in revealing ways.

Original languageEnglish (US)
Pages (from-to)2801-2837
Number of pages37
JournalErgodic Theory and Dynamical Systems
Volume38
Issue number8
DOIs
StatePublished - Dec 1 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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