Barycentric Brownian bees
نویسندگان
چکیده
We establish an invariance principle for the barycenter of a Brunet–Derrida particle system in d dimensions. The model consists N particles undergoing dyadic branching Brownian motion with rate 1. At event, number is kept equal to by removing located furthest away from barycenter. To prove principle, key step Harris recurrence process viewed its
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ژورنال
عنوان ژورنال: Annals of Applied Probability
سال: 2022
ISSN: ['1050-5164', '2168-8737']
DOI: https://doi.org/10.1214/21-aap1738