A characterisation of the Gaussian free field

Simple item page
dc.contributor.authorBerestycki, Nathanaƫl
dc.contributor.authorPowell, Ellen
dc.contributor.authorRay, Gourab
dc.date.accessioned2025-02-19T19:39:04Z
dc.date.available2025-02-19T19:39:04Z
dc.date.issued2019
dc.description.abstractWe 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.
dc.description.reviewstatusReviewed
dc.description.scholarlevelFaculty
dc.description.sponsorshipNathanaƫl Berestycki: Supported in part by EPSRC Grants EP/L018896/1 and EP/I03372X/1. Ellen Powell: Supported by EPSRC Grant EP/H023348/1 and NCCR SwissMAP. Gourab Ray: Supported in part by EPSRC Grant EP/I03372X/1 and by University of Victoria start-up 10000-27458.
dc.identifier.citationBerestycki, N., Powell, E., & Ray, G. (2019). A characterisation of the Gaussian free field. Probability Theory and Related Fields, 176(3ā€“4), 1259ā€“1301. https://doi.org/10.1007/s00440-019-00939-9
dc.identifier.urihttps://doi.org/10.1007/s00440-019-00939-9
dc.identifier.urihttps://hdl.handle.net/1828/21217
dc.language.isoen
dc.publisherProbability Theory and Related Fields
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA characterisation of the Gaussian free field
dc.typeArticle

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Berestycki_Nathanaƫl_ProbabTheoryRelatFields_2019.pdf
Size:
662.05 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.62 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Faculty and Staff Publications
 
University of Victoria Libraries

We acknowledge and respect the LəkĢ“Ź·É™Å‹É™n (Songhees and Esquimalt) Peoples on whose territory the university stands, and the LəkĢ“Ź·É™Å‹É™n and WĢ±SƁNEĆ Peoples whose historical relationships with the land continue to this day.