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arXiv · 2403.04524

Local limits of random bipartite maps in high genus: the general case

Thomas Budzinski
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Abstract

We prove the local convergence of uniform bipartite maps with prescribed face degrees in the high genus regime. Unlike in the previous work arxiv:2012.05813 on the subject, we do not make any assumption on the tail of the face degrees, except that they remain finite in the limit.

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Thomas Budzinski. 2024-03-07. Local limits of random bipartite maps in high genus: the general case. https://arxiv.org/abs/2403.04524

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