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arXiv · 1910.08474

Wiman-Valiron discs and the dimension of Julia sets

James Waterman
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Abstract

We show that the Hausdorff dimension of the set of points of bounded orbit in the Julia set of a meromorphic map with a simply connected direct tract and a certain restriction on the singular values is strictly greater than one. This result is obtained by proving new results related to Wiman-Valiron theory.

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James Waterman. 2019-10-18. Wiman-Valiron discs and the dimension of Julia sets. https://arxiv.org/abs/1910.08474

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