Nonexistence of SBR measures for some diffeomorphisms that are ‘Almost Anosov’
- 1 February 1995
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 15 (1) , 67-76
- https://doi.org/10.1017/s0143385700008245
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.Keywords
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