Experimental statistics for Mirzakhani's Theorem

2019/10/17 by Bell, Mark C
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1910.08155

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.

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