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Intrinsic ergodicity via obstruction entropies

Published online by Cambridge University Press:  03 April 2013

Department of Mathematics, University of Houston, Houston, Texas 77204, USA email
Department of Mathematics, The Ohio State University, 100 Math Tower, 231 West 18th Avenue, Columbus, Ohio 43210, USA email


Bowen showed that a continuous expansive map with specification has a unique measure of maximal entropy. We show that the conclusion remains true under weaker non-uniform versions of these hypotheses. To this end, we introduce the notions of obstructions to expansivity and specification, and show that if the entropy of such obstructions is smaller than the topological entropy of the map, then there is a unique measure of maximal entropy.

Research Article
Copyright ©2013 Cambridge University Press 

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