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Nonexistence of SBR measures for some diffeomorphisms that are ‘Almost Anosov’

Published online by Cambridge University Press:  19 September 2008

Huyi Hu  and
Lai-Sang Young
Huyi Hu
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
Lai-Sang Young
Affiliation:
Department of Mathematics, University of California, Los Angeles, CA 90024, USA
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Abstract

The purpose of this paper is to present some simple examples that are hyperbolic everywhere except at one point, but which do not admit SBR measures. Each example has a fixed point at which the larger eigenvalue is equal to one and the smaller eigenvalue is less than one.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 1 , February 1995 , pp. 67 - 76
Copyright
Copyright © Cambridge University Press 1995

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References

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