05-165 Yi-Chiuan Chen

Smale Horseshoe via the Anti-integrability (354K, postscript) May 7, 05

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Abstract. The embedding of the Bernoulli shift into the horseshoe map can be viewed as it is inherited from the anti-integrable limit where the horseshoe has infinite contraction in one direction and infinite expansion in the other. At the limit the map is virtually a subshift of finite type with four symbols or equivalently a full shift with two symbols. We present an algebraic explanation for the equivalence of the two shifts.

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