Random hyperbolic surfaces of large genus have first eigenvalues greater than \(\frac{3}{16}-\epsilon\)

DOI10.1007/s00039-022-00595-7zbMath1487.32072arXiv2102.05581OpenAlexW3126596080WikidataQ115609305 ScholiaQ115609305MaRDI QIDQ2127886

Yuhao Xue, Yunhui Wu

Publication date: 21 April 2022

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05581

zbMATH Keywords

first eigenvaluemoduli space of hyperbolic surfaces

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (13)

A high-genus asymptotic expansion of Weil–Petersson volume polynomials ⋮ Bose–Einstein condensation on hyperbolic spaces ⋮ Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves ⋮ A random cover of a compact hyperbolic surface has relative spectral gap \(\frac{3}{16}-\varepsilon\) ⋮ Unicellular maps vs. hyperbolic surfaces in large genus: simple closed curves ⋮ Near optimal spectral gaps for hyperbolic surfaces ⋮ GOE statistics on the moduli space of surfaces of large genus ⋮ Towards optimal spectral gaps in large genus ⋮ Determinants of Laplacians on random hyperbolic surfaces ⋮ Large genus bounds for the distribution of triangulated surfaces in moduli space ⋮ Enumerative geometry of surfaces. Abstracts from the workshop held June 13--19, 2021 (hybrid meeting) ⋮ Bootstrap bounds on closed hyperbolic manifolds ⋮ Bootstrapping closed hyperbolic surfaces

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