A characterisation of the Gaussian free field

Files

Berestycki_Nathanaël_ProbabTheoryRelatFields_2019.pdf (662.05 KB)

Date

2019

Authors

Berestycki, Nathanaël
Powell, Ellen
Ray, Gourab

Journal Title

Journal ISSN

Volume Title

Publisher

Probability Theory and Related Fields

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.

Description

Keywords

Citation

Berestycki, N., Powell, E., & Ray, G. (2019). 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

URI

https://doi.org/10.1007/s00440-019-00939-9
 https://hdl.handle.net/1828/21217

Collections

Faculty and Staff Publications
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.