Tuck's incompressibility function: statistics for zeta zeros and eigenvalues

DOI10.1088/1751-8113/41/38/385202zbMath1170.82002arXiv0807.3474OpenAlexW2964272990MaRDI QIDQ3528233

M. V. Berry, Pragya Shukla

Publication date: 8 October 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3474

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Classical equilibrium statistical mechanics (general) (82B05) Miscellaneous applications of number theory (11Z05)

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Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight ⋮ Critical edge behavior in the singularly perturbed Pollaczek–Jacobi type unitary ensemble ⋮ Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble ⋮ Hearing random matrices and random waves ⋮ Gap Probability at the Hard Edge for Random Matrix Ensembles with Pole Singularities in the Potential ⋮ On \(\beta\)-matrix models with singular potential ⋮ Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight ⋮ Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations ⋮ A matrix model with a singular weight and Painlevé III ⋮ Moments of random matrices and hypergeometric orthogonal polynomials ⋮ On the geometry of the Titchmarsh counterexample

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