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Smale spaces via inverse limits

Published online by Cambridge University Press:  28 June 2013

SUSANA WIELER
SUSANA WIELER*
Affiliation:
Dept. of Mathematics and Statistics, University of Victoria, 3800 Finnerty Road, Victoria, B.C., Canada V8P 5C2 email susanaw@uvic.ca
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Abstract

A Smale space is a chaotic dynamical system with canonical coordinates of contracting and expanding directions. The basic sets for Smale’s Axiom $A$ systems are a key class of examples. We consider the special case of irreducible Smale spaces with zero-dimensional contracting directions, and characterize these as stationary inverse limits satisfying certain conditions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 34 , Issue 6 , December 2014 , pp. 2066 - 2092
Copyright
© Cambridge University Press, 2013 

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