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arXiv · 1802.01195

A characterisation of the Gaussian free field

Nathanael Berestycki·Ellen Powell·Gourab Ray
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Abstract

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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Nathanael Berestycki, Ellen Powell, Gourab Ray. 2018-02-04. A characterisation of the Gaussian free field. https://doi.org/10.1007/s00440-019-00939-9

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