Entropy and semi-conjugacy in dimension two-Reference-Cited by-同舟云学术

Entropy and semi-conjugacy in dimension two

Published:1988-12 Issue:4 Volume:8 Page:585-596
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Handel Michael

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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