Article ID Journal Published Year Pages File Type
4589751 Journal of Functional Analysis 2016 38 Pages PDF
Abstract

We propose a new definition of the Gaussian multiplicative chaos and an approach based on the relation of subcritical Gaussian multiplicative chaos to randomized shifts of a Gaussian measure. Using this relation we prove general results on uniqueness and convergence for subcritical Gaussian multiplicative chaos that hold for Gaussian fields with arbitrary covariance kernels.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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