Nathanaël Berestycki
A characterisation of the Gaussian free field
Berestycki, Nathanaël; Powell, Ellen; Ray, Gourab
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 |
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