The half plane UIPT is recurrent

Simple item page
dc.contributor.authorAngel, Omer
dc.contributor.authorRay, Gourab
dc.date.accessioned2025-02-19T19:43:00Z
dc.date.available2025-02-19T19:43:00Z
dc.date.issued2017
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.reviewstatusReviewed
dc.description.scholarlevelFaculty
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.identifier.citationAngel, O., & Ray, G. (2017). The half plane UIPT is recurrent. Probability Theory and Related Fields, 170(3–4), 657–683. https://doi.org/10.1007/s00440-017- 0767-z
dc.identifier.urihttps://doi.org/10.1007/s00440-017-0767-z
dc.identifier.urihttps://hdl.handle.net/1828/21220
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.titleThe half plane UIPT is recurrent
dc.typeArticle

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Angel_Omer_ProbabTheoryRelatFields_2017.pdf
Size:
617.25 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 Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.