English

Experimental statistics for Mirzakhani's Theorem

Geometric Topology 2019-10-21 v1

Abstract

In her seminal 2008 paper, Maryam Mirzakhani showed that the ratio that two topological types of curves occur in is a rational number. In this paper we describe the process by which we obtained experimental evidence that separating and non-separating curves on the surface of genus two occur in the ratio 1 : 48.

Keywords

Cite

@article{arxiv.1910.08155,
  title  = {Experimental statistics for Mirzakhani's Theorem},
  author = {Mark C Bell},
  journal= {arXiv preprint arXiv:1910.08155},
  year   = {2019}
}

Comments

12 pages, 8 figures

R2 v1 2026-06-23T11:47:15.693Z