Branching random walk with selection at critical rate
نویسندگان
چکیده
منابع مشابه
Central Limit Theorem in Multitype Branching Random Walk
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.
متن کاملBranching random walk in Z with branching
For the critical branching random walk in Z 4 with branching at the origin only we find the asymptotic behavior of the probability of the event that there are particles at the origin at moment t → ∞ and prove a Yaglom type conditional limit theorem for the number of individuals at the origin given that there are particles at the origin.
متن کاملBranching Random Walk with Catalysts
Abstract Shnerb et al. (2000), (2001) studied the following system of interacting particles on Z: There are two kinds of particles, called A-particles and B-particles. The A-particles perform continuous time simple random walks, independently of each other. The jumprate of each A-particle is DA. The B-particles perform continuous time simple random walks with jumprate DB , but in addition they ...
متن کاملCritical branching random walk in an IID environment
Using a high performance computer cluster, we run simulations regarding an open problem about d -dimensional critical branching random walks in a random IID environment The environment is given by the rule that at every site independently, with probability p 2 Œ0; 1 , there is a cookie, completely suppressing the branching of any particle located there. The simulations suggest self averaging: t...
متن کاملIndividuals at the origin in the critical catalytic branching random walk
At the birth moment the newborn particles are located at the origin but after this moment behave independently and stochastically the same as the parent individual. The model we consider here is a particular case of the so-called branching random walk in catalytic medium. The longtime behavior of branching random walks in catalytic media of various types were investigated by a number of authors...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bernoulli
سال: 2017
ISSN: 1350-7265
DOI: 10.3150/15-bej796