Entropy, pseudo-orbit tracing property and positively expansive measures

2014/09/11 by Morales, C. A.
#Dynamical Systems (math.DS) #FOS: Mathematics #Primary 37B40 #Secondary 37B05

paper · doi:10.48550/arxiv.1409.3470

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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