33 citations · 102 across the 19 of their papers we have counts for
22 papers
Determinants of Laplacians on random hyperbolic surfaces
Frédéric Naud
We investigate the behaviour of the regularized determinant of the Laplace-Beltrami operator on compact hyperbolic surfaces when the genus goes to infinity. We show that for all po…
On the spectrum of twisted Laplacians and the Teichmüller representation
Frédéric Naud, Polyxeni Spilioti
We consider Laplacians with non unitary twists acting on sections of flat vector bundles over compact hyperbolic surfaces. These non self-adjoint Laplacians have discrete spectrum…
Extension of Alon's and Friedman's conjectures to Schottky surfaces
Michael Magee, Frédéric Naud
Let be a Schottky surface, that is, a conformally compact hyperbolic surface of infinite area. Let denote the Hausdorff dimension of the limit set of…
A random cover of a compact hyperbolic surface has relative spectral gap
Michael Magee, Frédéric Naud, Doron Puder
Let be a compact connected hyperbolic surface, that is, a closed connected orientable smooth surface with a Riemannian metric of constant curvature -1. For each $n\in\mathbf{N}…
Explicit spectral gaps for random covers of Riemann surfaces
Michael Magee, Frédéric Naud
We introduce a permutation model for random degree covers of a non-elementary convex-cocompact hyperbolic surface . Let be the Hausdorff di…
Kleinian Schottky groups, Patterson-Sullivan measures and Fourier decay
Jialun Li, Frederic Naud, Wenyu Pan
Let be a Zariski dense Kleinian Schottky subgroup of PSL2(C). Let be its limit set, endowed with a Patterson-Sullivan measure supported on . We show that the F…