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A characterisation of the Gaussian free field

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RGMW06 - RGM follow up

I will present a joint work with Nathanaël Berestycki and Goirab Ray in which 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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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