Surface Subshifts and Subshift Data

Authors
Citation
Deming, Zhu, Surface Subshifts and Subshift Data, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 5(1), 1989, pp. 16-26
ISSN journal
10009574
Volume
5
Issue
1
Year of publication
1989
Pages
16 - 26
Database
ACNP
SICI code
Abstract
his 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.