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math.SP2026
Spectral gap for Pollicott-Ruelle resonances on random coverings of Anosov surfaces
Julien Moy
Let be a closed Riemannian surface with Anosov geodesic flow. We prove the existence of a spectral gap for Pollicott--Ruelle resonances on random finite coverings of in…
math.SP2025
On the spectral gap of negatively curved surface covers
Will Hide, Julien Moy, Frederic Naud
Given a negatively curved compact Riemannian surface , we give an explicit estimate, valid with high probability as the degree goes to infinity, of the first non-trivial eigenva…