The maximum M of a critical Bienaymé-Galton-Watson process conditioned on the total progeny N is studied. Imbedding of the process in a random walk is used. A limit theorem for the distribution of M as N → ∞ is proved. The result is trasferred to the non-critical processes. A corollary for the maximal strata of a random rooted labeled tree is obtained
AbstractA general method is developed with which various theorems on the mean square convergence of ...
AbstractIn the subcritical speed area of a supercritical branching random walk, we prove that when t...
The branching random walk is a Galton-Watson process with the additional feature that pe...
AMS subject classification: 60J80, 60J15.The limiting behavior of the maximal number of particles in...
AbstractIn this paper we will obtain results concerning the distribution of generations and the degr...
We consider a branching random walk on Z started by n particles at the origin, where each particle d...
41 pages, 2 figuresInternational audienceWe study the evolution of a particle system whose genealogy...
AbstractIn recent years several authors have obtained limit theorems for the location of the right m...
Vatutin V, Wachtel V, Fleischmann K. Critical Galton-Watson branching processes: the maximum of the ...
We study critical branching random walks (BRWs) U(n) on where the displacement of an offspring fro...
We consider a branching random walk on a multitype (with Q types of particles), supercritical Galton...
We consider discrete-time branching random walks with a radially symmetric distribution. Independent...
We consider branching Brownian motion which is a mathematical object modeling the evolution of a pop...
We consider branching Brownian motion which is a mathematical object modeling the evolution of a pop...
We investigate the maximal number Mk of offspring amongst all individuals in a critical Galton-Watso...
AbstractA general method is developed with which various theorems on the mean square convergence of ...
AbstractIn the subcritical speed area of a supercritical branching random walk, we prove that when t...
The branching random walk is a Galton-Watson process with the additional feature that pe...
AMS subject classification: 60J80, 60J15.The limiting behavior of the maximal number of particles in...
AbstractIn this paper we will obtain results concerning the distribution of generations and the degr...
We consider a branching random walk on Z started by n particles at the origin, where each particle d...
41 pages, 2 figuresInternational audienceWe study the evolution of a particle system whose genealogy...
AbstractIn recent years several authors have obtained limit theorems for the location of the right m...
Vatutin V, Wachtel V, Fleischmann K. Critical Galton-Watson branching processes: the maximum of the ...
We study critical branching random walks (BRWs) U(n) on where the displacement of an offspring fro...
We consider a branching random walk on a multitype (with Q types of particles), supercritical Galton...
We consider discrete-time branching random walks with a radially symmetric distribution. Independent...
We consider branching Brownian motion which is a mathematical object modeling the evolution of a pop...
We consider branching Brownian motion which is a mathematical object modeling the evolution of a pop...
We investigate the maximal number Mk of offspring amongst all individuals in a critical Galton-Watso...
AbstractA general method is developed with which various theorems on the mean square convergence of ...
AbstractIn the subcritical speed area of a supercritical branching random walk, we prove that when t...
The branching random walk is a Galton-Watson process with the additional feature that pe...