Entropy, pseudo-orbit tracing property and positively expansive measures
classification
🧮 math.DS
keywords
entropyexpansivemeasurespositivelypropertypseudo-orbittracingapplications
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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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