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Entropy and semi-conjugacy in dimension two
Published online by Cambridge University Press: 19 September 2008
Abstract
We prove that if a diffeomorphism f of a closed surface is homotopic to and has the same topological entropy as a pseudo-Anosov homeomorphism g, then f is semi-conjugate to g. As part of the proof, a necessary and sufficient condition is given for a pseudo-orbit of a pseudo-Anosov homeomorphism g to be shadowed by an actual orbit of g.
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- Copyright © Cambridge University Press 1988
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