Julien Moy

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math.SP2025

Spectral gap of random covers of negatively curved noncompact surfaces

Julien Moy

Let $(X, g)$ be a complete noncompact geometrically finite surface with pinched negative curvature $- b^{2} \leq K_{g} \leq - 1$ . Let $I^»_{0} (X)$ denote the bottom of the $L^{2} -$ s…

math.SP2024

Spectral statistics of the Laplacian on random covers of a closed negatively curved surface

Julien Moy

Let $(X, g)$ be a closed, connected surface, with variable negative curvature. We consider the distribution of eigenvalues of the Laplacian on random covers $X_{n} \to X$ of degree $n$ …