The local limit of unicellular maps in high genus
Probability
2015-05-20 v1 Combinatorics
Abstract
We show that the local limit of unicellular maps whose genus is proportional to the number of edges is a supercritical geometric Galton-Watson tree conditioned to survive. The proof relies on enumeration results obtained via the recent bijection given by the second author together with Feray and Fusy.
Cite
@article{arxiv.1309.6254,
title = {The local limit of unicellular maps in high genus},
author = {Omer Angel and Guillaume Chapuy and Nicolas Curien and Gourab Ray},
journal= {arXiv preprint arXiv:1309.6254},
year = {2015}
}
Comments
12 pages, 1 figure