Poisson-Dirichlet statistics for the extremes of a randomized Riemann zeta function

DOI10.1214/18-ECP154zbMath1422.60036arXiv1711.03529OpenAlexW3105844307MaRDI QIDQ1663758

Frédéric Ouimet

Publication date: 23 August 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03529

zbMATH Keywords

Riemann zeta functionspin glassesGibbs measureextreme value theoryGhirlanda-Guerra identitiesultrametricityPoisson-Dirichlet variable

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (5)

Maxima of branching random walks with piecewise constant variance ⋮ Large deviations and continuity estimates for the derivative of a random model of \(|\zeta|\) on the critical line ⋮ Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations ⋮ Is the Riemann Zeta Function in a Short Interval a 1-RSB Spin Glass? ⋮ Moments of the Riemann zeta function on short intervals of the critical line

Cites Work

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