The half plane UIPT is recurrent
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Angel, O
Ray, G
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
60B99, 60G50
Journal Title
Probability Theory and Related Fields
Conference Name
Journal ISSN
0178-8051
1432-2064
1432-2064
Volume Title
Publisher
Springer
Publisher DOI
Sponsorship
OA 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.