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arXiv · 2105.00938

The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class

Walter Bergweiler·Weiwei Cui
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Abstract

We show that for each $d\in (0,2]$ there exists a meromorphic function $f$ such that the inverse function of $f$ has three singularities and the Julia set of $f$ has Hausdorff dimension $d$.

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Walter Bergweiler, Weiwei Cui. 2021-05-03. The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class. https://doi.org/10.1007/s00209-022-03142-0

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