On the ubiquity of the Cauchy distribution in spectral problems

DOI10.1007/s00440-014-0587-3zbMath1330.60042arXiv1312.7769OpenAlexW3099696518MaRDI QIDQ748437

Simone Warzel, Michael Aizenman

Publication date: 29 October 2015

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7769

Mathematics Subject Classification ID

Random matrices (algebraic aspects) (15B52) Distribution theory (60E99)

Related Items (11)

Renormalization group analysis of the hierarchical Anderson model ⋮ On a distinguished family of random variables and Painlevé equations ⋮ Local Kesten-McKay law for random regular graphs ⋮ The limiting characteristic polynomial of classical random matrix ensembles ⋮ Resonances and partial delocalization on the complete graph ⋮ The circular unitary ensemble and the Riemann zeta function: the microscopic landscape and a new approach to ratios ⋮ Two short pieces around the Wigner problem ⋮ The many faces of the stochastic zeta function ⋮ Random entire functions from random polynomials with real zeros ⋮ On random matrix averages involving half-integer powers of GOE characteristic polynomials ⋮ Anderson transition on the Bethe lattice: an approach with real energies

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