The diameter of random Belyi surfaces - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

The diameter of random Belyi surfaces

(1) , (2, 3) , (4)
1
2
3
4

Abstract

We determine the asymptotic growth rate of the diameter of the random hyperbolic surfaces constructed by Brooks and Makover (J. Differential Geom. 68 (2004) 121–157). This model consists of a uniform gluing of 2n hyperbolic ideal triangles along their sides followed by a compactification to get a random hyperbolic surface of genus roughly n2. We show that the diameter of those random surfaces is asymptotic to 2logn in probability as n→∞.

Dates and versions

hal-03287264 , version 1 (15-07-2021)

Identifiers

Cite

Thomas Budzinski, Nicolas Curien, Bram Petri. The diameter of random Belyi surfaces. 2021. ⟨hal-03287264⟩
29 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More