Short geodesic loops and \(L^p\) norms of eigenfunctions on large genus random surfaces

DOI10.1007/s00039-021-00556-6zbMath1478.58010arXiv1912.09961OpenAlexW2994633614MaRDI QIDQ2035532

Joe Thomas, Etienne Le Masson, Tuomas Sahlsten, Clifford Gilmore

Publication date: 25 June 2021

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

Full work available at URL: https://arxiv.org/abs/1912.09961

zbMATH Keywords

Teichmüller spaceinjectivity radiuseigenfunctions of the Laplacianhyperbolic surfacesWeil-Petersson volumeSelberg transformshort geodesics

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Geodesics in global differential geometry (53C22) Teichmüller theory for Riemann surfaces (30F60) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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