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January  2009, 3(1): 13-34. doi: 10.3934/jmd.2009.3.13

Absence of mixing for smooth flows on genus two surfaces

Dmitri Scheglov 1,

1. 

Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, United States

Received  May 2008 Revised  November 2008 Published  February 2009

We prove that typical area-preserving flows with linearly isomorphic nondegenerate saddles on genus two surfaces are not mixing.
Keywords: mixing., Rauzy induction, interval-exchange transformations.
Mathematics Subject Classification: Primary: 37E35, Secondary: 37A2.
Citation: Dmitri Scheglov. Absence of mixing for smooth flows on genus two surfaces. Journal of Modern Dynamics, 2009, 3 (1) : 13-34. doi: 10.3934/jmd.2009.3.13
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