English

Entropy, pseudo-orbit tracing property and positively expansive measures

Dynamical Systems 2014-09-12 v1

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.

Keywords

Cite

@article{arxiv.1409.3470,
  title  = {Entropy, pseudo-orbit tracing property and positively expansive measures},
  author = {C. A. Morales},
  journal= {arXiv preprint arXiv:1409.3470},
  year   = {2014}
}

Comments

6 pages

R2 v1 2026-06-22T05:54:34.751Z