A family of probability distributions consistent with the DOZZ formula: towards a conjecture for the law of 2D GMC

DOI10.2140/pmp.2021.2.533zbMath1483.60027arXiv2008.02233OpenAlexW3209021440WikidataQ113727156 ScholiaQ113727156MaRDI QIDQ2668203

Dmitrii M. Ostrovskii

Publication date: 3 March 2022

Published in: Probability and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02233

zbMATH Keywords

Mellin transform analytic continuation infinite divisibility double gamma function Gaussian multiplicative chaos DOZZ formula Barnes beta probability distributions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on curved space or space-time backgrounds (81T20)

Cites Work

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