On the central limit theorem for linear eigenvalue statistics on random surfaces of large genus

DOI10.1007/s11854-023-0327-7arXiv2301.00685MaRDI QIDQ6183787

Igor Wigman, Ze'ev Rudnick

Publication date: 23 January 2024

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.00685

zbMATH Keywords

trace formulaPoisson point processhyperbolic surfaceWeil-Petersson measure

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Quantum chaos (81Q50) Teichmüller theory for Riemann surfaces (30F60) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• Lengths of closed geodesics on random surfaces of large genus
• A central limit theorem for the spectrum of the modular domain
• Linear functionals of eigenvalues of random matrices
• Point processes and random measures
• Semiclassical theory of spectral rigidity
• Measure Theory and Probability Theory
• Near optimal spectral gaps for hyperbolic surfaces
• GOE statistics on the moduli space of surfaces of large genus

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