Brunet-Derrida Behavior of Branching-Selection Particle Systems on the Line
نویسندگان
چکیده
منابع مشابه
Brunet-Derrida behavior of branching-selection particle systems on the line
We consider a class of branching-selection particle systems on R similar to the one considered by E. Brunet and B. Derrida in their 1997 paper ”Shift in the velocity of a front due to a cutoff”. Based on numerical simulations and heuristic arguments, Brunet and Derrida showed that, as the population size N of the particle system goes to infinity, the asymptotic velocity of the system converges ...
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Local Approximations for Branching Particle Systems
We derive different local approximations along with estimates of the remainders for the total mass processes of two branching particle systems. To this end, we investigate the corresponding classes of integer-valued variables. One of them is comprised of Pólya-Aeppli distributions, while members of the other class are the convolutions of a zero-modified geometric law. We obtain the closed-form ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2010
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-010-1067-y