3 papers
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…
math.DS2024
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.DS2023
Simplicity of Lyapunov spectra and boundaries of non-conical strictly convex divisible sets
Patrick Foulon, Pascal Hubert, Carlos Matheus
Let be a strictly convex divisible subset of the -dimensional real projective space which is not an ellipsoid. Even though is not , Benoist showed that it i…