Journal of Modern Dynamics (JMD)

Absence of mixing for smooth flows on genus two surfaces

Pages: 13 - 34, Issue 1, January 2009      doi:10.3934/jmd.2009.3.13

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Dmitri Scheglov - Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, United States (email)

Abstract: We prove that typical area-preserving flows with linearly isomorphic nondegenerate saddles on genus two surfaces are not mixing.

Keywords:  Rauzy induction, interval-exchange transformations, mixing.
Mathematics Subject Classification:  Primary: 37E35, Secondary: 37A25.

Received: May 2008;      Revised: November 2008;      Available Online: February 2009.