Random Surfaces with Boundary
Combinatorics
2021-04-21 v2 Geometric Topology
Abstract
A surface with boundary is randomly generated by gluing polygons along some of their sides. We show that its genus and number of boundary components asymptotically follow a bivariate normal distribution.
Cite
@article{arxiv.2001.01713,
title = {Random Surfaces with Boundary},
author = {Chaim Even-Zohar and Michael Farber},
journal= {arXiv preprint arXiv:2001.01713},
year = {2021}
}