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arXiv · 1304.7601

Uniform tail entropy for real analytic maps

Gang Liao
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Abstract

Let $M$ be a compact real analytic manifold of finite dimension. There is a function $a: (0,+\infty)\to [0,+\infty)$ with $\lim_{t\to0}a(t)=0$ such that, the tail entropy $h^{*}(f,\varepsilon)$ of any real analytic map $f$ on $M$ is uniformly bounded above by the scale $a(\varepsilon)$.

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Gang Liao. 2013-04-29. Uniform tail entropy for real analytic maps. https://arxiv.org/abs/1304.7601

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