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20162026
most citedResonant thickening of self-gravitating discs: imposed or self-induced orbital diffusion in the tightly wound limit

25 citations · 57 across the 12 of their papers we have counts for

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math.SP2026

Typical hyperbolic surfaces have a spectral gap greater than

Nalini Anantharaman, Laura Monk

In this article, we prove that typical hyperbolic surfaces, sampled with the Weil-Petersson probability measure, have a spectral gap at least . This is an intermediate res…

math.SP2026

Typical hyperbolic surfaces have an optimal spectral gap

Laura Monk

The first non-zero Laplace eigenvalue of a hyperbolic surface, or its spectral gap, measures how well-connected the surface is: surfaces with a large spectral gap are hard to cut i…

math.SP2026

Spectral Gaps on Large Hyperbolic Surfaces

Laura Monk, Frédéric Naud

In this expository paper, we review the history and the recent breakthroughs in the spectral theory of large volume hyperbolic surfaces. More precisely, we focus mostly on the inve…