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dc.contributor.authorGwynne, Ewainen
dc.contributor.authorMiller, Jasonen
dc.date.accessioned2020-02-04T00:31:16Z
dc.date.available2020-02-04T00:31:16Z
dc.identifier.issn0373-0956
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/301689
dc.description.abstractWe introduce the concept of a local metric of a Gaussian free field (GFF) $h$, which is a random metric coupled with $h$ in such a way that it depends locally on $h$ in a certain sense. This definition is a metric analog of the concept of a local set for $h$. We establish general criteria for two local metrics of the same GFF $h$ to be bi-Lipschitz equivalent to each other and for a local metric to be a.s. determined by $h$. Our results are used in subsequent works which prove the existence, uniqueness, and basic properties of the $\gamma$-Liouville quantum gravity (LQG) metric for all $\gamma \in (0,2)$, but no knowledge of LQG is needed to understand this paper.
dc.languageenen
dc.publisherAssociation des Annales de I'Institut Fourier
dc.rightsAttribution-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nd/4.0/
dc.titleLocal metrics of the Gaussian free fielden
dc.typeArticle
prism.endingPage2075
prism.issueIdentifier5en
prism.publicationNameAnnales de l'Institut Fourieren
prism.startingPage2049
prism.volume70en
dc.identifier.doi10.17863/CAM.48760
dcterms.dateAccepted2020-01-31en
rioxxterms.versionofrecord10.5802/aif.3398en
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2020-01-31en
dc.identifier.eissn1777-5310
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEuropean Commission Horizon 2020 (H2020) ERC (804166)
cam.issuedOnline2021-04-15en
cam.orpheus.successMon Nov 22 07:42:04 GMT 2021 - The item has an open VoR version.*
cam.orpheus.counter89*
rioxxterms.freetoread.startdate2100-01-01


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Attribution-NoDerivatives 4.0 International
Except where otherwise noted, this item's licence is described as Attribution-NoDerivatives 4.0 International