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A characterisation of the Gaussian free field

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arxiv 1802.01195 v2 pith:G3KVESGL submitted 2018-02-04 math.PR

Nathanael Berestycki , Ellen Powell , Gourab Ray This is my paper · ORCID
classification math.PR
keywords fieldfreegaussianassumptioncharacterisationconformallydimensionsdistribution
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We prove that a random distribution in two dimensions which is conformally invariant and satisfies a natural domain Markov property is a multiple of the Gaussian free field. This result holds subject only to a fourth moment assumption.

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