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math.PR2008★ 10 cited
The lineage process in Galton--Watson trees and globally centered discrete snakes
Jean-François Marckert
We consider branching random walks built on Galton--Watson trees with offspring distribution having a bounded support, conditioned to have nodes, and their rescaled convergence…
math.PR2007
Some families of increasing planar maps
Marie Albenque, Jean-François Marckert
Stack-triangulations appear as natural objects when one wants to define some increasing families of triangulations by successive additions of faces. We investigate the asymptotic b…
math.PR2007
One more approach to the convergence of the empirical process to the Brownian bridge
Jean-François Marckert
A theorem of Donsker asserts that the empirical process converges in distribution to the Brownian bridge. The aim of this paper is to provide a new and simple proof of this fact.