On Gaussian multiplicative chaos

Published 16 Jul 2014 in math.PR | (1407.4418v4)

Abstract: 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. Using this relation we prove general uniqueness and convergence results for subcritical GMC that hold for Gaussian fields with arbitrary covariance kernels.

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Authors (1)

Alexander Shamov

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