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Entropy, pseudo-orbit tracing property and positively expansive measures

Published 11 Sep 2014 in math.DS | (1409.3470v1)

Abstract: We study homeomorphisms of compact metric spaces whose restriction to the nonwandering set has the pseudo-orbit tracing property. We prove that if there are positively expansive measures, then the topological entropy is positive. Some short applications of this result are included.

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