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Periodic points of surface homeomorphisms with zero entropy

Published online by Cambridge University Press:  19 September 2008

John Smillie
John Smillie
Affiliation:
Graduate Center-CUNY, 33 West 42 Street, New York, N.Y. 10036
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Abstract

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This paper deals with the question of which periods can occur as periods of periodic points of zero entropy surface homeomorphisms in a given isotopy class. We give new examples of isotopy classes for which there are non-trivial restrictions and describe how the possible periods can be computed. Certain phenomena occur only for surfaces of large genus. These results have applications to the periodic data question for Morse–Smale maps.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 2 , June 1983 , pp. 315 - 334
Copyright
Copyright © Cambridge University Press 1983

References

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