On the minimal diameter of closed hyperbolic surfaces
Geometric Topology
2023-02-22 v1 Probability
Abstract
We prove that the minimal diameter of a hyperbolic compact orientable surface of genus is asymptotic to as . The proof relies on a random construction, which we analyse using lattice point counting theory and the exploration of random trivalent graphs.
Keywords
Cite
@article{arxiv.1909.12283,
title = {On the minimal diameter of closed hyperbolic surfaces},
author = {Thomas Budzinski and Nicolas Curien and Bram Petri},
journal= {arXiv preprint arXiv:1909.12283},
year = {2023}
}
Comments
9 pages, 4 figures