The local Hoelder exponent for the entropy of real unimodal maps
classification
🧮 math.DS
keywords
hoelderentropyexponentfunctionlocalmapsrealunimodal
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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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