4 papers · 1 filter
Local limits of conditioned marked Galton Watson trees
Romain Abraham, Sonia Boulal, Pierre Debs
We consider a Galton-Watson tree where each node is marked independently of each others with a probability depending on its outdegree. We give a complete picture of the local conve…
Sub-diffusive behavior of a recurrent Axis-Driven Random Walk
Pierre Andreoletti, Pierre Debs
We study the second order of the number of excursions of a simple random walk with a bias that drives a return toward the origin along the axes introduced by P. Andreoletti and P.…
Penalization of Galton-Watson processes
Romain Abraham, Pierre Debs
We apply the penalization technique introduced by Roynette, Vallois, Yor for Brownian motion to Galton-Watson processes with a penalizing function of the form where P is…
Penalisation of the symmetric random walk by several functions of the supremum
Pierre Debs
In this paper, we penalised the standard random walk by several functions of its maximum. The aim is to show that in spite of very close penalisation functions, under the new proba…