Louis Soares

activity

20172026

most citedLarge covers and sharp resonances of hyperbolic surfaces

6 citations · 6 across the 6 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.SP2023

Explicit spectral gap for Hecke congruence covers of arithmetic Schottky surfaces

Louis Soares

Let $Γ$ be a Schottky subgroup of $SL_{2} (Z)$ and let $X = Γ\ H^{2}$ be the associated hyperbolic surface. Conditional on the generalized Riemann hypo…

math.SP2023

Low-lying resonances for infinite-area hyperbolic surfaces with long closed geodesics

Louis Soares

We consider sequences $(X_{n})_{n \in N}$ of coverings of convex cocompact hyperbolic surfaces $X$ with Euler characterictic $χ (X_{n})$ tending to $- \infty$ as $n \to \infty.$ W…

math.SP2023

Improved fractal Weyl bounds for convex cocompact hyperbolic surfaces and large resonance-free regions

Louis Soares

Let $X$ be a convex cocompact hyperbolic surface, and let $δ$ denote the Hausdorff dimension of its limit set. Let $N_{X} (σ, T)$ denote the number of resonances of $X$ inside the box…