Clusters of near-degenerate levels dominate negative moments of spectral determinants
From MaRDI portal
Publication:4533856
DOI10.1088/0305-4470/35/1/101zbMath1012.81015OpenAlexW2067232473MaRDI QIDQ4533856
Jonathan P. Keating, M. V. Berry
Publication date: 11 June 2002
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/35/1/101
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) (zeta (s)) and (L(s, chi)) (11M06) Quantum chaos (81Q50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Miscellaneous applications of number theory (11Z05)
Related Items
Superoscillations for monochromatic standing waves ⋮ The Ratios Conjecture and upper bounds for negative moments of 𝐿-functions over function fields ⋮ Analytic number theory. Abstracts from the workshop held November 6--12, 2022 ⋮ On the moments of characteristic polynomials ⋮ Negative moments of the Riemann zeta-function ⋮ Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach ⋮ A Fuchsian matrix differential equation for Selberg correlation integrals ⋮ Singularity dominated strong fluctuations for some random matrix averages ⋮ On the construction of coherent states of position dependent mass Schrödinger equation endowed with effective potential ⋮ Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds
