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
Descripción
Sumario: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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