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arXiv · 2512.00372

A class of Latt\`es maps with cellular structures

Zhiqiang Li·Hanyun Zheng
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Abstract

We show that a class of quasiregular Latt\`es maps, called orthotopic Latt\`es maps, are cellular Markov maps. This provides examples of expanding Thurston-type maps that are also uniformly quasiregular, and whose visual metrics are quasisymmetrically equivalent to the Riemannian distance.

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Zhiqiang Li, Hanyun Zheng. 2025-11-29. A class of Latt\`es maps with cellular structures. https://arxiv.org/abs/2512.00372

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