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arXiv · 1707.01575

The local Hoelder exponent for the entropy of real unimodal maps

Giulio Tiozzo
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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.

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Giulio Tiozzo. 2017-07-05. The local Hoelder exponent for the entropy of real unimodal maps. https://arxiv.org/abs/1707.01575

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