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Classification of expansive attractors on surfaces

Published online by Cambridge University Press:  23 November 2010

MARCY BARGE  and
BRIAN F. MARTENSEN
MARCY BARGE
Affiliation:
Department of Mathematics, Montana State University, Bozeman, MT 59717, USA (email: barge@math.montana.edu)
BRIAN F. MARTENSEN
Affiliation:
Department of Mathematics and Statistics, Minnesota State University, Wissink 273, Mankato, MN 56001, USA (email: martensen@mnsu.edu)
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Abstract

We prove the conjecture of F. Rodriguez Hertz and J. Rodriguez Hertz [Expansive attractors on surfaces. Ergod. Th. & Dynam. Sys.26(1) (2006), 291–302; MR 2201950(2006j:37049)] that every non-trivial transitive expansive attractor of a homeomorphism of a compact surface is a derived from pseudo-Anosov attractor.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 6 , December 2011 , pp. 1619 - 1639
Copyright
Copyright © Cambridge University Press 2010

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