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

Uniform tail entropy for real analytic maps