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The half plane UIPT is recurrent

dc.creatorAngel, O
dc.creatorRay, Gourab
dc.date.accessioned2017-02-21
dc.date.accessioned2018-11-24T23:27:10Z
dc.date.available2017-05-05T17:01:02Z
dc.date.available2018-11-24T23:27:10Z
dc.date.issued2017-03-07
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/264121
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3958
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.languageen
dc.publisherSpringer
dc.publisherProbability Theory and Related Fields
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rightsAttribution 4.0 International
dc.rightsAttribution 4.0 International
dc.titleThe half plane UIPT is recurrent
dc.typeArticle


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