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Spectral gap for random Schottky surfaces

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

Spectral gap for random Schottky surfaces

Irving Calder\'on , Michael Magee , Fr\'ed\'eric Naud This is my paper
classification math.SP math.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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  1. Bass notes of random hyperbolic surfaces of large genus

    math.SP 2026-07 accept novelty 2.0

    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.