Publication

A Characterisation Of The Continuum Gaussian Free Field In Arbitrary Dimensions

Juhan Aru
2022
Journal Articles

Abstract

We prove that under certain mild moment and continuity assumptions, the d-dimensional continuum Gaussian free field is the only stochastic process satisfying the usual domain Markov property and a scaling assumption. Our proof is based on a decomposition of the underlying functional space in terms of radial processes and spherical harmonics.

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A Characterisation Of The Continuum Gaussian Free Field In Arbitrary Dimensions

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