Asymptotic distribution of the points in branching random walk

The growth and spread of the points in Branching Random Walk is the purpose of this paper. We start by looking at the growth rate in a Galton-Watson branching process. Then by considering a branching random walk on d-dimensional Euclidian space, we give the asymptotic distribution of the points, when generation size tends to infinity. Finally we set the corresponding recent results in a multitype branching random walk on the real line.

کلیدواژه ها:

Galton-Watson branching process ، multitype branching random walk ، Laplace transforms ، asymptotic distributions ، first and last points ، central limit theorem.