Exponential Decay of Expansive Constants

Details Exponential Decay of Expansive Constants Exponential Decay of Expansive Constants

2011-01-04

arxiv.org/abs/1101.0851v1

Mathematics

Dynamical Systems

Scientific paper

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

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