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

A characterisation of the Gaussian free field

Nathanael Berestycki , Ellen Powell , Gourab Ray This is my paper

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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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