On Riemann zeroes, lognormal multiplicative chaos, and Selberg integral

DOI10.1088/0951-7715/29/2/426zbMath1412.11097arXiv1506.07488OpenAlexW3102444464MaRDI QIDQ2794859

Dmitrii M. Ostrovskii

Publication date: 11 March 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07488

zbMATH Keywords

infinite divisibilitydouble gamma functionGaussian free fieldSelberg integralmultiplicative chaosmultifractal stochastic measureRiemann zeros

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Gaussian processes (60G15) Gamma, beta and polygamma functions (33B15) Random measures (60G57) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

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Subcritical multiplicative chaos for regularized counting statistics from random matrix theory ⋮ On Barnes beta distributions and applications to the maximum distribution of the 2D Gaussian free field ⋮ A theory of intermittency differentiation of 1D infinitely divisible multiplicative chaos measures ⋮ A review of conjectured laws of total mass of Bacry–Muzy GMC measures on the interval and circle and their applications

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