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Uniqueness of maximal entropy odd orbit types

Published:1995 Issue:6 Volume:123 Page:1917-1922
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Geller William,Weiss Benjamin

Abstract

We prove that the maximal entropy orbit types of odd period for interval maps are unique. In fact we prove that they are uniquely maximal among all (not necessarily cyclic) permutations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1995-123-06/S0002-9939-1995-1249876-7/S0002-9939-1995-1249876-7.pdf

Reference6 articles.

1. The ordering on permutations induced by continuous maps of the real line;Bernhardt, Chris;Ergodic Theory Dynam. Systems,1987

2. Lecture Notes in Mathematics;Block, L. S.,1992

3. Periodic points and topological entropy of one-dimensional maps;Block, Louis,1980

4. Maximal entropy odd orbit types;Geller, William;Trans. Amer. Math. Soc.,1992

5. Some results on the Šarkovskiĭ partial ordering of permutations;Jungreis, Irwin;Trans. Amer. Math. Soc.,1991

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Classification of permutations and cycles of maximum topological entropy;Qualitative Theory of Dynamical Systems;2003-03

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