Renan Gross

collaborators

3 papers

math.SP2026

Determinants of Laplacians on converging hyperbolic surfaces

Renan Gross, Guy Lachman, Asaf Nachmias

Let $S_{k}$ be a sequence of compact hyperbolic surfaces of increasing volume which locally converges to a random rooted surface. We show that if the normalized sum of the reciprocal…

math.PR2025

The distance problem via subadditivity

Renan Gross

In a recent paper, Aldous, Blanc and Curien asked which distributions can be expressed as the distance between two independent random variables on some separable measured metric sp…

math.SP2025

A sharp lower bound on the small eigenvalues of surfaces

Renan Gross, Guy Lachman, Asaf Nachmias

Let $S$ be a compact hyperbolic surface of genus $g \geq 2$ and let $I (S) = \frac{1}{Vol ( S )} \int_{S} \frac{1}{Inj ( x ) ^{2} \land 1} d x$ , where $Inj (x)$ is th…