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dc.contributor.authorAngel, Oen
dc.contributor.authorRay, Gouraben
dc.date.accessioned2017-05-05T17:01:02Z
dc.date.available2017-05-05T17:01:02Z
dc.date.issued2017-03-07en
dc.identifier.issn0178-8051
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/264121
dc.description.abstractWe prove that the half plane version of the uniform infinite planar triangulation (UIPT) is recurrent. The key ingredients of the proof are a construction of a new full plane extension of the half plane UIPT, based on a natural decomposition of the half plane UIPT into independent layers, and an extension of previous methods for proving recurrence of weak local limits (while still using circle packings).
dc.description.sponsorshipOA was partly supported by NSERC, the Isaac Newton Institute and the Simons Foundation. GR was supported by the Engineering and Physical Sciences Research Council Under Grant EP/103372X/1.
dc.language.isoenen
dc.publisherSpringer
dc.rightsAttribution 4.0 Internationalen
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleThe half plane UIPT is recurrenten
dc.typeArticle
prism.publicationDate2017en
prism.publicationNameProbability Theory and Related Fieldsen
dc.identifier.doi10.17863/CAM.9484
dcterms.dateAccepted2017-02-21en
rioxxterms.versionofrecord10.1007/s00440-017-0767-zen
rioxxterms.versionVoRen
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/en
rioxxterms.licenseref.startdate2017-03-07en
dc.identifier.eissn1432-2064
rioxxterms.typeJournal Article/Reviewen


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