The half plane UIPT is recurrent

Files

Angel_Omer_ProbabTheoryRelatFields_2017.pdf (617.25 KB)

Date

2017

Authors

Angel, Omer
Ray, Gourab

Journal Title

Journal ISSN

Volume Title

Publisher

Probability Theory and Related Fields

Abstract

We 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).

Description

Keywords

Citation

Angel, 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

URI

https://doi.org/10.1007/s00440-017-0767-z
 https://hdl.handle.net/1828/21220

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.