### A characterisation of the 2d Gaussian Free Field

Probability Seminar

29th November 2019, 3:30 pm – 4:30 pm

Fry Building, 2.41

I will discuss a joint work with Nathanael Berestycki and Gourab Ray, in which we prove that a random distribution in two dimensions satisfying conformal invariance and a natural domain Markov property must be a multiple of the Gaussian free field. This result holds subject only to a mild moment assumption.

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