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

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math.SP2017★ 6 cited

Large covers and sharp resonances of hyperbolic surfaces

Dmitry Jakobson, Frederic Naud, Louis Soares

Let $Γ$ be a convex co-compact discrete group of isometries of the hyperbolic plane $H^{2}$ , and $X = Γ\ H^{2}$ the associated surface. In this paper we invest…

math.SP2017

Hyperbolic Surfaces with Arbitrarily Small Spectral Gap

Louis Soares

Let $X = Γ ∖ H$ be a non-elementary geometrically finite hyperbolic surface and let $δ$ denote the Hausdorff dimension of the limit set $Λ (Γ)$ . We prove that f…