Spectral gap for random Schottky surfaces

Fr\'ed\'eric Naud; Irving Calder\'on; Michael Magee

Spectral gap for random Schottky surfaces

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arxiv 2407.21506 v1 pith:P6PYG5UD submitted 2024-07-31 math.SP math.PR

Irving Calderón , Michael Magee , Frédéric Naud This is my paper · ORCID

classification math.SPmath.PR

keywords randomschottkyspectralsurfacesaccordingconjectureestablishjakobson

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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.

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Bass notes of random hyperbolic surfaces of large genus
math.SP 2026-07 accept novelty 2.0 of 10

A survey of recent results proving that random hyperbolic surfaces of large genus have near-optimal spectral gaps, after Hide–Magee, Anantharaman–Monk, and Hide–Macera–Thomas.

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