Time spent in a ball by a critical branching random walk
Résumé
We study a critical branching random walk on Z d. We focus on the tail of the time spent in a ball, and our study, in dimension four and higher, sheds new light on the recent result of Angel, Hutchcroft and Jarai [AHJ21], in particular on the special features of the critical dimension four. Finally, we analyse the number of walks transported by the branching random walk on the boundary of a distant ball. Keywords and phrases. Branching random walk; local times; range. MSC 2010 subject classifications. Primary 60G50; 60J80.
Domaines
Probabilités [math.PR]
Origine : Fichiers produits par l'(les) auteur(s)