Spectral gap for random Schottky surfaces
Irving Calder\'on, Michael Magee, Fr\'ed\'eric Naud
TL;DR
This paper proves an optimal spectral gap for resonances of the Laplacian on random Schottky surfaces, confirming a conjecture and advancing understanding of spectral properties in geometric analysis.
Contribution
It establishes an optimal spectral gap for the Laplacian resonances on random Schottky surfaces, confirming a key conjecture in the field.
Findings
Spectral gap for resonances is proven to be optimal.
Supports the Jakobson-Naud conjecture.
Advances spectral theory for hyperbolic surfaces.
Abstract
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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Taxonomy
TopicsMathematical Dynamics and Fractals