Small eigenvalues of closed Riemann surfaces for large genus

DOI10.1090/tran/8608zbMath1487.58031arXiv1809.07449OpenAlexW2891506069WikidataQ114093753 ScholiaQ114093753MaRDI QIDQ5067625

Yuhao Xue, Yunhui Wu

Publication date: 4 April 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07449

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Teichmüller theory for Riemann surfaces (30F60)

Related Items (6)

Random hyperbolic surfaces of large genus have first eigenvalues greater than \(\frac{3}{16}-\epsilon\) ⋮ Optimal lower bounds for first eigenvalues of Riemann surfaces for large genus ⋮ Near optimal spectral gaps for hyperbolic surfaces ⋮ Large genus asymptotics for lengths of separating closed geodesics on random surfaces ⋮ Towards optimal spectral gaps in large genus ⋮ Large genus bounds for the distribution of triangulated surfaces in moduli space

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