English

Exponential Decay of Expansive Constants

Dynamical Systems 2011-01-06 v1

Abstract

A map ff on a compact metric space is expansive if and only if fnf^n is expansive. We study the exponential rate of decay of the expansive constant of fnf^n. A major result is that this rate times box dimension bounds topological entropy.

Keywords

Cite

@article{arxiv.1101.0851,
  title  = {Exponential Decay of Expansive Constants},
  author = {Peng Sun},
  journal= {arXiv preprint arXiv:1101.0851},
  year   = {2011}
}
R2 v1 2026-06-21T17:07:35.674Z