Critical Gaussian Multiplicative Chaos: a Review

E. Powell

2021, v.27, Issue 4, 557-606

ABSTRACT

This review-style article presents an overview of recent progress in constructing and studying critical Gaussian multiplicative chaos. A proof that the critical measure in any dimension can be obtained as a limit of subcritical measures is given.

Keywords: Gaussian multiplicative chaos, log-correlated Gaussian fields, Liouville quantum gravity

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Laboratory of large random systems, Dept. of Mechanics and Mathematics
Moscow State University, Vorobievy Gory, 119952 Moscow Russia
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The journal was founded in 1995 by prof. Malyshev V. A.
Published by Polymat Publishing Company, Moscow, Russia
ISSN 1024-2953
The journal is published quaterly

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E. Powell