Joffrey Mathien

collaborators

3 papers

math.GT2026

A sharper bound on the minimal possible diameter of a closed hyperbolic surface

Joffrey Mathien, Bram Petri

We prove that the minimal possible diameter of a closed hyperbolic surface of genus $g$ is at most $lo g (g) + 25 lo g lo g (g) + O (1)$ .

math.PR2026

Cutoff for geodesic paths on hyperbolic manifolds

Charles Bordenave, Joffrey Mathien

We establish new instances of the cutoff phenomenon for geodesic paths and for the Brownian motion on compact hyperbolic manifolds. We prove that for any fixed compact hyperbolic m…

math.GT2026

Diameter of a new model of random hyperbolic surfaces

Joffrey Mathien

The study of random surfaces, especially in the asymptotics of large genus, has been of increasing interest in recent years. Many geometrical questions have analogous formulations…