On the tail of the branching random walk local time

Consider a critical branching random walk on [Formula: see text] , [Formula: see text] , started with a single particle at the origin, and let L(x) be the total number of particles that ever visit a vertex x. We study the tail of L(x) under suitable conditions on the offspring distribution. In parti...

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Detalles Bibliográficos
Autores principales: Angel, Omer, Hutchcroft, Tom, Járai, Antal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8570315/
https://www.ncbi.nlm.nih.gov/pubmed/34759438
http://dx.doi.org/10.1007/s00440-020-01014-4
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author Angel, Omer
Hutchcroft, Tom
Járai, Antal
author_facet Angel, Omer
Hutchcroft, Tom
Járai, Antal
author_sort Angel, Omer
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description Consider a critical branching random walk on [Formula: see text] , [Formula: see text] , started with a single particle at the origin, and let L(x) be the total number of particles that ever visit a vertex x. We study the tail of L(x) under suitable conditions on the offspring distribution. In particular, our results hold if the offspring distribution has an exponential moment.
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spelling pubmed-85703152021-11-08 On the tail of the branching random walk local time Angel, Omer Hutchcroft, Tom Járai, Antal Probab Theory Relat Fields Article Consider a critical branching random walk on [Formula: see text] , [Formula: see text] , started with a single particle at the origin, and let L(x) be the total number of particles that ever visit a vertex x. We study the tail of L(x) under suitable conditions on the offspring distribution. In particular, our results hold if the offspring distribution has an exponential moment. Springer Berlin Heidelberg 2020-11-06 2021 /pmc/articles/PMC8570315/ /pubmed/34759438 http://dx.doi.org/10.1007/s00440-020-01014-4 Text en © The Author(s) 2020 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Angel, Omer
Hutchcroft, Tom
Járai, Antal
On the tail of the branching random walk local time
title On the tail of the branching random walk local time
title_full On the tail of the branching random walk local time
title_fullStr On the tail of the branching random walk local time
title_full_unstemmed On the tail of the branching random walk local time
title_short On the tail of the branching random walk local time
title_sort on the tail of the branching random walk local time
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8570315/
https://www.ncbi.nlm.nih.gov/pubmed/34759438
http://dx.doi.org/10.1007/s00440-020-01014-4
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