A review of conjectured laws of total mass of Bacry–Muzy GMC measures on the interval and circle and their applications

DOI10.1142/S0129055X18300030zbMath1416.33003arXiv1803.06677WikidataQ114847111 ScholiaQ114847111MaRDI QIDQ5226407

Dmitrii M. Ostrovskii

Publication date: 31 July 2019

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06677

zbMATH Keywords

infinite divisibilitymultiple gamma functiontotal massGaussian multiplicative chaosMorris integralSelberg integralBacry-Muzy measures

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Gamma, beta and polygamma functions (33B15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random measures (60G57)

Related Items (7)

Integrability of boundary Liouville conformal field theory ⋮ The distribution of Gaussian multiplicative chaos on the unit interval ⋮ A family of probability distributions consistent with the DOZZ formula: towards a conjecture for the law of 2D GMC ⋮ Computable structural formulas for the distribution of the \(\beta\)-Jacobi edge eigenvalues ⋮ Extreme values of CUE characteristic polynomials: a numerical study ⋮ Hessian spectrum at the global minimum of high-dimensional random landscapes ⋮ The conditional law of the Bacry-Muzy and Riemann-Liouville log correlated Gaussian fields and their GMC, via Gaussian Hilbert and fractional Sobolev spaces

Uses Software

• DLMF

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