72 citations · 505 across the 26 of their papers we have counts for
4 papers · 1 filter
Convergence of bi-measure R-tree and the pruning process
Wolfgang Löhr, Guillaume Voisin, Anita Winter
In [Aldous,Pitman,1998] a tree-valued Markov chain is derived by pruning off more and more subtrees along the edges of a Galton-Watson tree. More recently, in [Abraham,Delmas,2012]…
Local time of a diffusion in a stable Lévy environment
Roland Diel, Guillaume Voisin
We consider a one-dimensional diffusion in a stable Lévy environment. We show that the normalized local time process refocused at the bottom of the standard valley with height $\lo…
Dislocation measure of the fragmentation of a general Lévy tree
Guillaume Voisin
Given a general critical or sub-critical branching mechanism and its associated Lévy continuum random tree, we consider a pruning procedure on this tree using a Poisson snake. It d…
Pruning a Lévy continuum random tree
Romain Abraham, Jean-Francois Delmas, Guillaume Voisin
Given a general critical or sub-critical branching mechanism, we define a pruning procedure of the associated Lévy continuum random tree. This pruning procedure is defined by addin…