Julien Moy

activity

20242026

collaborators

3 papers

math.SP2026

Spectral gap for Pollicott-Ruelle resonances on random coverings of Anosov surfaces

Julien Moy

Let $(M, g)$ 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 $M$ 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 $X$ , we give an explicit estimate, valid with high probability as the degree goes to infinity, of the first non-trivial eigenva…

math.AP2024

$C^{1, I^\pm}$ regularity of hypersurfaces of bounded nonlocal mean curvature in Riemannian manifolds

Julien Moy

Let $(M, g)$ be a smooth connected Riemannian manifold. We show an improvement of flatness theorem for hypersurfaces of $M$ of bounded nonlocal mean curvature in the viscosity sense…

Spectral gap for Pollicott-Ruelle resonances on random coverings of Anosov surfaces

On the spectral gap of negatively curved surface covers

C1,I^± regularity of hypersurfaces of bounded nonlocal mean curvature in Riemannian manifolds

$C^{1, I^\pm}$ regularity of hypersurfaces of bounded nonlocal mean curvature in Riemannian manifolds