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arXiv · 2310.14330

MME for Mating Correspondences

Vanessa Matus De La Parra
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Abstract

We use the measure theoretical entropy from Vivas-Sirvent and the topological entropies from Dinh-Sibony and Kelly-Tennant to prove that the equidistribution measures $\mu_-$ and $\mu_+$ found by the author maximize entropy for the $1$-parameter family $\lbrace\mathcal{F}_a\rbrace_a$ studied by Bullett-Lomonaco. We find as well a measure of maximal entropy for the composition of two deleted covering correspondences studied by Bullett.

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Vanessa Matus De La Parra. 2023-10-22. MME for Mating Correspondences. https://arxiv.org/abs/2310.14330

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