20 citations · 169 across the 52 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.GT2018★ 7 cited
Minimal length product over homology bases of manifolds
Florent Balacheff, Steve Karam, Hugo Parlier
Minkowski's second theorem can be stated as an inequality for -dimensional flat Finsler tori relating the volume and the minimal product of the lengths of closed geodesics which…
math.GT2018
Quantifying the sparseness of simple geodesics on hyperbolic surfaces
Peter Buser, Hugo Parlier
The goal of the article is to provide different explicit quantifications of the non density of simple closed geodesics on hyperbolic surfaces. In particular, we show that within an…
cs.CG2018
Delaunay Triangulations of Points on Circles
Vincent Despré, Olivier Devillers, Hugo Parlier +1
Delaunay triangulations of a point set in the Euclidean plane are ubiquitous in a number of computational sciences, including computational geometry. Delaunay triangulations are no…