Uniform tail entropy for real analytic maps

Abstract

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

Cited by in corpus (1)

• Asymptotic $h$-expansiveness rate of $C^{\infty }$ maps