Publication

Gaussian Multiplicative Chaos Through the Lens of the 2D Gaussian Free Field

Juhan Aru
2020
Journal Articles

Abstract

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.

Official source

https://infoscience.epfl.ch/entities/publication/2f906dfb-eae1-4e93-b999-927beda81aa9

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Gaussian Multiplicative Chaos Through the Lens of the 2D Gaussian Free Field

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