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Recent literature on Weil-Petersson random hyperbolic surfaces has met a consistent obstacle: the necessity to condition the model, prohibiting certain rare geometric patterns (which we call tangles), such as short closed geodesics or embedded surfaces of short boundary length.
Travaux de Thurston sur les surfaces
Albert Fathi, François Laudenbach, and Valentin Poénaru · 1991
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Geometry and Spectra of Compact Riemann Surfaces
Peter Buser · 1992
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Making Curves Minimally Crossing by Reidemeister Moves
Maurits Graaf and Alexander Schrijver · 1997
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Simple geodesics and Weil–Petersson volumes of moduli spaces of bordered Riemann surfaces
Maryam Mirzakhani · 2007
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A proof of Alon’s second eigenvalue conjecture and related problems
Joel Friedman · 2008
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Maryam Mirzakhani · 2013
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Nalini Anantharaman and Laura Monk · 2023
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Nalini Anantharaman and Laura Monk · 2023
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Frédéric Naud · 2023
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Towards optimal spectral gaps in large genus
Michael Lipnowski and Alex Wright · 2024
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Yunhui Wu and Yuhao Xue · 2022
Cited alongside, same era.
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