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We propose a new definition of the Gaussian multiplicative chaos (GMC) and an approach based on the relation of subcritical GMC to randomized shifts of a Gaussian measure.
Resonance Theorems and Superlinear Operators
E. Nikishin · 1970
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Théorèmes de Nikishin: théorèmes de factorisation pour les applications linéaires à valeurs dans un espace L 0 ( Ω , μ ) L^{0}(\Omega,\mu)
B. Maurey · 1973
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Théorèmes de Nikishin: théorèmes de factorisation pour les applications linéaires à valeurs dans un espace L 0 ( Ω , μ ) L^{0}(\Omega,\mu) (suite et fin)
B. Maurey · 1973
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Sur le chaos multiplicatif
J.-P. Kahane · 1985
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Multiplicative chaos and random translation
H. Sato and M. Tamashiro · 1994
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Gaussian Hilbert Spaces
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Critical Gaussian multiplicative chaos: Convergence of the derivative martingale
B. Duplantier, R. Rhodes, S. Sheffield, and V. Vargas · 2014
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Gaussian multiplicative chaos and applications: a review
R. Rhodes, V. Vargas, et al · 2014
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Complex Gaussian multiplicative chaos
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Renormalization of Critical Gaussian Multiplicative Chaos and KPZ Relation
B. Duplantier, R. Rhodes, S. Sheffield, and V. Vargas
Cited in the paper.