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The half plane UIPT is recurrent
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 ext...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6566220/ https://www.ncbi.nlm.nih.gov/pubmed/31258233 http://dx.doi.org/10.1007/s00440-017-0767-z |
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author | Angel, Omer Ray, Gourab |
author_facet | Angel, Omer Ray, Gourab |
author_sort | Angel, Omer |
collection | PubMed |
description | 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). |
format | Online Article Text |
id | pubmed-6566220 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-65662202019-06-28 The half plane UIPT is recurrent Angel, Omer Ray, Gourab Probab Theory Relat Fields Article 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). Springer Berlin Heidelberg 2017-03-07 2018 /pmc/articles/PMC6566220/ /pubmed/31258233 http://dx.doi.org/10.1007/s00440-017-0767-z Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
spellingShingle | Article Angel, Omer Ray, Gourab The half plane UIPT is recurrent |
title | The half plane UIPT is recurrent |
title_full | The half plane UIPT is recurrent |
title_fullStr | The half plane UIPT is recurrent |
title_full_unstemmed | The half plane UIPT is recurrent |
title_short | The half plane UIPT is recurrent |
title_sort | half plane uipt is recurrent |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6566220/ https://www.ncbi.nlm.nih.gov/pubmed/31258233 http://dx.doi.org/10.1007/s00440-017-0767-z |
work_keys_str_mv | AT angelomer thehalfplaneuiptisrecurrent AT raygourab thehalfplaneuiptisrecurrent AT angelomer halfplaneuiptisrecurrent AT raygourab halfplaneuiptisrecurrent |