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Pré-Publication, Document De Travail Année : 2022

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.
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Dates et versions

hal-03621587 , version 1 (28-03-2022)

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  • HAL Id : hal-03621587 , version 1

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Amine Asselah, Bruno Schapira. Time spent in a ball by a critical branching random walk. 2022. ⟨hal-03621587⟩
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