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Isentropic fitting of Anosov automorphisms

Published online by Cambridge University Press:  19 September 2008

David Fried
David Fried
Affiliation:
Department of Mathematics, University of California, Santa Cruz, California 95064
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Abstract

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In response to a question of Newhouse, we show that in many cases an Anosov automorphism can be uniformly approximated by a Smale diffeomorphism of the same topological entropy. We conjecture this can be done whenever the automorphism is sufficiently hyperbolic.

A three-dimensional example is given that suggests this approximation is not always possible.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 2 , June 1982 , pp. 173 - 183
Copyright
Copyright © Cambridge University Press 1982

References

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