On Gaussian multiplicative chaos
classification
🧮 math.PR
keywords
gaussianchaosmultiplicativerelationsubcriticalapproacharbitraryconvergence
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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. 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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