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arXiv · 2112.13008

McMullen's and geometric pressures and approximating Hausdorff dimension of Julia sets from below

Feliks Przytycki
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Abstract

We introduce new variants of the notion of geometric pressure for rational functions on the Riemann sphere, including non-hyperbolic functions, in the hope some of them occur useful to achieve a fast approximation from below of the hyperbolic Hausdorff dimension of Julia set.

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Feliks Przytycki. 2021-12-24. McMullen's and geometric pressures and approximating Hausdorff dimension of Julia sets from below. https://arxiv.org/abs/2112.13008

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