Journal of Modern Dynamics (JMD)

The work of Federico Rodriguez Hertz on ergodicity of dynamical systems

Pages: 175 - 189, Volume 10, 2016      doi:10.3934/jmd.2016.10.175

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Dmitry Dolgopyat - Department of Mathematics, University of Maryland, College Park, MD 20742, United States (email)

Abstract: We review recent advances on ergodicity of partially and nonuniformly hyperbolic systems describing, in particular, important contributions of Federico Rodriguez Hertz and his collaborators.

Keywords:  Partial hyperbolicity, nonuniform hyperbolicity, ergodicity, accessibility, Hopf argument.
Mathematics Subject Classification:  Primary: 37D25, 37D30; Secondary: 37C40.

Received: March 2016;      Available Online: June 2016.