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research article
A Characterisation Of The Continuum Gaussian Free Field In Arbitrary Dimensions
January 1, 2022
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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jep.201.pdf
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openaccess
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CC BY-ND
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1003.96 KB
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