On the tail of the branching random walk local time.
Probab Theory Relat Fields
; 180(1-2): 467-494, 2021.
Article
em En
| MEDLINE
| ID: mdl-34759438
ABSTRACT
Consider a critical branching random walk on Z d , d ≥ 1 , 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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Base de dados:
MEDLINE
Tipo de estudo:
Clinical_trials
Idioma:
En
Ano de publicação:
2021
Tipo de documento:
Article