English

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

Probability 2024-06-18 v2 Combinatorics

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.

Keywords

Cite

@article{arxiv.2403.04524,
  title  = {Local limits of random bipartite maps in high genus: the general case},
  author = {Thomas Budzinski},
  journal= {arXiv preprint arXiv:2403.04524},
  year   = {2024}
}

Comments

10 pages, 1 figure. v2: Minor corrections