2 papers
math.DS2025
Extreme events for horocycle flows
Jens Marklof, Mark Pollicott
We prove extreme value laws for cusp excursions of the horocycle flow in the case of surfaces of constant negative curvature. The key idea of our approach is to study the hitting t…
math.SP2024
The moduli space of twisted Laplacians and random matrix theory
Jens Marklof, Laura Monk
Rudnick recently proved that the spectral number variance for the Laplacian of a large compact hyperbolic surface converges, in a certain scaling limit and when averaged with respe…