33 citations · 50 across the 8 of their papers we have counts for
8 papers · 1 filter
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…
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…
Fractal Weyl bounds and Hecke triangle groups
Frederic Naud, Anke Pohl, Louis Soares
Let be a non-cofinite Hecke triangle group with cusp width and let be a finite-dimensional unitary representation of . In this note we…
Spectral gaps and abelian covers of convex co-compact surfaces
Frederic Naud
Given a convex co-compact hyperbolic surface , we investigate the resonance spectrum of the laplacian on large finite abelian cove…
Large covers and sharp resonances of hyperbolic surfaces
Dmitry Jakobson, Frederic Naud, Louis Soares
Let be a convex co-compact discrete group of isometries of the hyperbolic plane , and the associated surface. In this paper we invest…
On the nodal lines of Eisenstein series on Schottky surfaces
Jakobson Dmitry, Naud Frederic
On convex co-compact hyperbolic surfaces with Hausdorff dimension of the limit set less than 1/2, we investigate high energy behaviour of Eisenstein Series. Eisenstein Series are n…