The local Hoelder exponent for the entropy of real unimodal maps

Abstract

We prove that the topological entropy of real unimodal maps depends as a Hoelder continuous function of the kneading parameter, and the local Hoelder exponent equals, up to a factor log 2, the value of the function at that point.

11 pages, 1 figure

References in corpus (1)

• Core entropy of quadratic polymonials

Cited by in corpus (1)

• The core entropy for polynomials of higher degree