A characterisation of the Gaussian free field
Probability
2020-04-24 v2
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.
Keywords
Cite
@article{arxiv.1802.01195,
title = {A characterisation of the Gaussian free field},
author = {Nathanael Berestycki and Ellen Powell and Gourab Ray},
journal= {arXiv preprint arXiv:1802.01195},
year = {2020}
}
Comments
Minor revisions. To appear in PTRF