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dc.contributor.authorPowell, Ellenen
dc.date.accessioned2017-08-03T16:00:46Z
dc.date.available2017-08-03T16:00:46Z
dc.identifier.issn0246-0203
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/265890
dc.description.abstractWe study the level lines of a Gaussian free field in a planar domain with general boundary data F. We show that the level lines exist as continuous curves under the assumption that F is regulated (i.e., admits finite left and right limits at every point), and satisfies certain inequalities. Moreover, these level lines are a.s. determined by the field. This allows us to define and study a generalization of the SLE4(ρ) process, now with a continuum of force points. A crucial ingredient is a monotonicity property in terms of the boundary data which strengthens a result of Miller and Sheffield and is also of independent interest.
dc.language.isoenen
dc.publisherElsevier
dc.titleLevel lines of the Gaussian free field with general boundary dataen
dc.typeArticle
prism.publicationNameAnnales de l'institut Henri Poincare (B) Probability and Statisticsen
dc.identifier.doi10.17863/CAM.12263
dcterms.dateAccepted2016-08-22en
rioxxterms.versionAMen
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2016-08-22en
rioxxterms.typeJournal Article/Reviewen


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