Extinction window of mean field branching annihilating random walk
نویسندگان
چکیده
منابع مشابه
Survival and Extinction of Caring Double-branching Annihilating Random Walk
Branching annihilating random walk (BARW) is a generic term for a class of interacting particle systems on Z in which, as time evolves, particles execute random walks, produce offspring (on neighbouring sites) and (instantaneously) disappear when they meet other particles. Much of the interest in such models stems from the fact that they typically lack a monotonicity property called attractiven...
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Branching annihilating random walk (BARW) is a generic term for a class of interacting particle systems on Z in which, as time evolves, particles execute random walks, produce offspring (on neighbouring sites) and (instantaneously) disappear when they meet other particles. Much of the interest in such models stems from the fact that they typically lack a monotonicity property called attractiven...
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We investigate the temporal evolution and spatial propagation of branching annihilating random walks in one dimension. Depending on the branching and annihilation rates, a few-particle initial state can evolve to a propagating finite density wave, or extinction may occur, in which the number of particles vanishes in the long-time limit. The number parity conserving case where 2-offspring are pr...
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A discrete time multitype (p-type) branching random walk on the real line R is considered. The positions of the j-type individuals in the n-th generation form a point process. The asymptotic behavior of these point processes, when the generation size tends to infinity, is studied. The central limit theorem is proved.
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2015
ISSN: 1050-5164
DOI: 10.1214/14-aap1069