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A characterisation of the Gaussian free field

Presented by: 
Ellen Powell ETH Zürich
Date: 
Monday 16th July 2018 - 13:45 to 14:30
Venue: 
INI Seminar Room 1
Abstract: 
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons