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research article
Gaussian Multiplicative Chaos Through the Lens of the 2D Gaussian Free Field
January 1, 2020
The aim of this review-style paper is to provide a concise, self-contained and unified presentation of the construction and main properties of Gaussian multiplicative chaos (GMC) measures for log-correlated fields in 2D in the subcritical regime. By considering the case of the 2D Gaussian free field, we review convergence, uniqueness and characterisations of the measures; revisit Kahane's convexity inequalities and existence and scaling of moments; discuss the measurability of the underlying field with respect to the GMC measure and present a KPZ relation for scaling exponents.
Type
research article
Web of Science ID
WOS:000521149200002
Authors
Publication date
2020-01-01
Publisher
Published in
Volume
26
Issue
1
Start page
17
End page
56
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 8, 2020
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