2 papers
math.DS2025
Siegel-Veech Constants for Cyclic Covers of Generic Translation Surfaces
David Aulicino, Aaron Calderon, Carlos Matheus +2
We compute the asymptotic number of cylinders, weighted by their area to any non-negative power, on any cyclic branched cover of any generic translation surface in any stratum. Our…
math.DS2024
Selberg, Ihara and Berkovich
Jialun Li, Carlos Matheus, Wenyu Pan +1
We use the Selberg zeta function to study the limit behavior of resonances in a degenerating family of Kleinian Schottky groups. We prove that, after a suitable rescaling, the Selb…