Brunet–Derrida particle systems, free boundary problems and Wiener–Hopf equations
نویسندگان
چکیده
منابع مشابه
Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations
We consider a branching-selection system in R with N particles which give birth independently at rate 1 and where after each birth the leftmost particle is erased, keeping the number of particles constant. We show that, as N → ∞, the empirical measure process associated to the system converges in distribution to a deterministic measure-valued process whose densities solve a free boundary integr...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2011
ISSN: 0091-1798
DOI: 10.1214/10-aop601