Uniform tail entropy for real analytic maps

摘要

Let M be a compact real analytic manifold of finite dimension. There is a function a : (0,+∞) → [0,+∞) with lim_(t→0) a(t) = 0 such that the tail entropy h~*(f,ε) of any real analytic map f on M is uniformly bounded above by the scale a(ε).