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Surface subshifts and subshift data
Authors:Zhu Deming
Affiliation:(1) Department of Mathematics, East China Normal University, China
Abstract:This paper is concerned with Smale diffeomorphisms on compact oriented surfaces. We determine with which genus a closed oriented surface can carry a Smale diffeomorphism associated with a subshift of finite type corresponding to a given reciprocal polynomial with constant term one, and determine what a combination of subshifts and period imformations of sinks and sources can be realized on a given oriented surface by a Smale diffeomorphism in a definite isotopic class. Necessary and sufficient conditions are given.This is a part of my Ph.D. thesis.
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