Smooth stabilizers for measures on the torus

Aaron W. Brown

doi:10.3934/dcds.2015.35.43

Article Contents

2015, Volume 35, Issue 1: 43-58. Doi: 10.3934/dcds.2015.35.43

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Smooth stabilizers for measures on the torus

Aaron W. Brown^1,

1.
Department of Mathematics, The Pennsylvania State University, State College, PA 16802

Received: January 31, 2013

Revised: May 31, 2014

Published: December 2014

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Abstract

For a dissipative Anosov diffeomorphism $f$ of the 2-torus, we give examples of $f$-invariant measures $\mu$ such that the group of $\mu$-preserving diffeomorphisms is virtually cyclic.

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Mathematics Subject Classification: Primary: 37C40, 37D20; Secondary: 37E30.

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