Irving Calder'on

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20222024

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math.SP2024

Spectral gap for random Schottky surfaces

Irving Calderón, Michael Magee, Frédéric Naud

We establish a spectral gap for resonances of the Laplacian of random Schottky surfaces, which is optimal according to a conjecture of Jakobson and Naud.

math.SP2023

Explicit spectral gap for Schottky subgroups of $SL (2, Z)$

Irving Calderón, Michael Magee

Let $Γ$ be a Schottky subgroup of $SL (2, Z)$ . We establish a uniform and explicit lower bound of the second eigenvalue of the Laplace-Beltrami operator of congrue…

Spectral gap for random Schottky surfaces

Explicit spectral gap for Schottky subgroups of SL(2,Z)

Explicit spectral gap for Schottky subgroups of $SL (2, Z)$