39 citations · 85 across the 15 of their papers we have counts for
Showing 2019 · math.GTShow all
3 papers · 2 filters
math.GT2019★ 8 cited
The diameter of random Belyi surfaces
Thomas Budzinski, Nicolas Curien, Bram Petri
We determine the asymptotic growth rate of the diameter of the random hyperbolic surfaces constructed by Brooks and Makover. This model consists of a uniform gluing of hyperbo…
math.GT2019★ 10 cited
On the minimal diameter of closed hyperbolic surfaces
Thomas Budzinski, Nicolas Curien, Bram Petri
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, w…
math.GT2019★ 1 cited
Kissing numbers of closed hyperbolic manifolds
Maxime Fortier Bourque, Bram Petri
We prove an upper bound for the number of shortest closed geodesics in a closed hyperbolic manifold of any dimension in terms of its volume and systole, generalizing a theorem of P…