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Isentropic fitting of Anosov automorphisms
Published online by Cambridge University Press: 19 September 2008
Abstract
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.
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- Copyright © Cambridge University Press 1982
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