Results 11 to 20 of about 220,579 (315)
Poisson–Dirichlet branching random walks [PDF]
The Annals of Applied Probability, 2013 Published in at http://dx.doi.org/10.1214/12-AAP840 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Louigi Addario‐Berry, Kevin Ford
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, 2015 Chen [Ann. Appl. Probab. {\bf 11} (2001), 1242--1262] derived exact convergence rates in a central limit theorem and a local limit theorem for a supercritical branching Wiener process.We extend Chen's results to a branching random walk under weaker ...
Zhiqiang Gao, Quansheng Liu
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The Spread of a Catalytic Branching Random Walk
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2014 We consider a random walk on $\Z$ that branches at the origin only. In the supercritical regime we establish a law of large number for the maximal position $M_n$. Then we determine all possible limiting law for the sequence $M_n - n$ where $ $ is a deterministic constant.
Philippe Carmona, Yueyun Hu
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Moments of Moments and Branching Random Walks [PDF]
Journal of Statistical Physics, 2021 AbstractWe calculate, for a branching random walk $$X_n(l)$$ X n ( l ) to a leaf l at depth n on a binary
E. C. Bailey, J. P. Keating
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Asymptotic behavior of survival probability for a branching random walk with a barrier
AIMS Mathematics, 2023 Consider a branching random walk with a mechanism of elimination. We assume that the underlying Galton-Watson process is supercritical, thus the branching random walk has a positive survival probability.
You Lv
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Branching Random Walks with Two Types of Particles on Multidimensional Lattices
Mathematics, 2022 We consider a continuous-time branching random walk on a multidimensional lattice with two types of particles and an infinite number of initial particles.
Iuliia Makarova +3 more
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Note on the Generalized Branching Random Walk on the Galton–Watson Tree
Fractal and Fractional, 2023 Let ∂T be a super-critical Galton–Watson tree. Recently, the first author computed almost surely and simultaneously the Hausdorff dimensions of the sets of infinite branches of the boundary of ∂T along which the sequence SnX(t)/SnX˜(t) has a given set of
Najmeddine Attia, Rim Amami, Rimah Amami
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Individuals at the origin in the critical catalytic branching random walk [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 A continuous time branching random walk on the lattice $\mathbb{Z}$ is considered in which individuals may produce children at the origin only. Assuming that the underlying random walk is symmetric and the offspring reproduction law is critical we prove ...
Valentin Topchii, Vladimir Vatutin
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Survival probability of a critical multi-type branching process in random environment [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We study a multi-type branching process in i.i.d. random environment. Assuming that the associated random walk satisfies the Doney-Spitzer condition, we find the asymptotics of the survival probability at time $n$ as $n \to \infty$.
Elena Dyakonova
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Branching Random Walks with One Particle Generation Center and Possible Absorption at Every Point
Mathematics, 2023 We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite number of sources in which, in addition to the walk, only the absorption of ...
Elena Filichkina, Elena Yarovaya
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