Partially hyperbolic dynamics in dimension three

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

Research output: Contribution to journalArticle

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

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Partial Hyperbolicity
Three-dimension
Topology
Hyperbolicity

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Carrasco, Pablo D. ; Rodriguez Hertz, Federico Juan ; Rodriguez-Hertz, Jana ; Ures, Raúl. / Partially hyperbolic dynamics in dimension three. In: Ergodic Theory and Dynamical Systems. 2018 ; Vol. 38, No. 8. pp. 2801-2837.
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Partially hyperbolic dynamics in dimension three. / Carrasco, Pablo D.; Rodriguez Hertz, Federico Juan; Rodriguez-Hertz, Jana; Ures, Raúl.

In: Ergodic Theory and Dynamical Systems, Vol. 38, No. 8, 01.12.2018, p. 2801-2837.

Research output: Contribution to journalArticle

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