AbstractA general method is developed with which various theorems on the mean square convergence of functionals of branching random walks are proven. The results cover extensions and generalizations of classical central limit analogues as well as a result of a different type
International audienceWe give the first-and second-order asymptotic expansions for the central limit...
49 pages, 1 figureConsider the supercritical branching random walk on the real line in the boundary ...
We show that the centred occupation time process of the origin of a system of critical binary branch...
A general method is developed with which various theorems on the mean square convergence of function...
AbstractA general method is developed with which various theorems on the mean square convergence of ...
International audienceChen [Ann. Appl. Probab. 11 (2001), 1242–1262] derived exact convergence rates...
Summary. We consider the minimum of a super-critical branching random walk. In [1], Addario-Berry an...
The branching random walk is a Galton-Watson process with the additional feature that pe...
It is well known that the behaviour of a branching process is completely described by the generatin...
Consider the boundary case in a one-dimensional super-critical branching random walk. It is known th...
Cette thèse contient trois parties. La première partie concerne un processus de branchement, (Zn), d...
A generalization of Biggins Martingale Convergence Theorem is proved for the multitype branching ran...
International audienceWe give the first-and second-order asymptotic expansions for the central limit...
49 pages, 1 figureConsider the supercritical branching random walk on the real line in the boundary ...
We show that the centred occupation time process of the origin of a system of critical binary branch...
A general method is developed with which various theorems on the mean square convergence of function...
AbstractA general method is developed with which various theorems on the mean square convergence of ...
International audienceChen [Ann. Appl. Probab. 11 (2001), 1242–1262] derived exact convergence rates...
Summary. We consider the minimum of a super-critical branching random walk. In [1], Addario-Berry an...
The branching random walk is a Galton-Watson process with the additional feature that pe...
It is well known that the behaviour of a branching process is completely described by the generatin...
Consider the boundary case in a one-dimensional super-critical branching random walk. It is known th...
Cette thèse contient trois parties. La première partie concerne un processus de branchement, (Zn), d...
A generalization of Biggins Martingale Convergence Theorem is proved for the multitype branching ran...
International audienceWe give the first-and second-order asymptotic expansions for the central limit...
49 pages, 1 figureConsider the supercritical branching random walk on the real line in the boundary ...
We show that the centred occupation time process of the origin of a system of critical binary branch...