Skip to main content

Research Repository

Advanced Search

A characterisation of the Gaussian free field

Berestycki, Nathanaël; Powell, Ellen; Ray, Gourab

A characterisation of the Gaussian free field Thumbnail


Authors

Nathanaël Berestycki

Gourab Ray



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.

Citation

Berestycki, N., Powell, E., & Ray, G. (2020). A characterisation of the Gaussian free field. Probability Theory and Related Fields, 176(3-4), 1259-1301. https://doi.org/10.1007/s00440-019-00939-9

Journal Article Type Article
Acceptance Date Jul 22, 2019
Online Publication Date Aug 30, 2019
Publication Date Apr 30, 2020
Deposit Date Sep 28, 2019
Publicly Available Date Oct 8, 2019
Journal Probability Theory and Related Fields
Print ISSN 0178-8051
Electronic ISSN 1432-2064
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 176
Issue 3-4
Pages 1259-1301
DOI https://doi.org/10.1007/s00440-019-00939-9
Public URL https://durham-repository.worktribe.com/output/1320151

Files


Published Journal Article (Advance online version) (772 Kb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Advance online version This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution,
and reproduction in any medium, provided you give appropriate credit to the original author(s) and the
source, provide a link to the Creative Commons license, and indicate if changes were made.





You might also like



Downloadable Citations