13 citations · 26 across the 15 of their papers we have counts for
16 papers · 1 filter
Simple random walk on Z^2 perturbed on the axis (renewal case)
Pierre Andreoletti, Pierre Debs
We study a simple random walk on Z^2 with constraints on the axis. Motivation comes from physics when particles (a gas for example, see [Dal88]) are submitted to a local field. In…
Generalized range of slow random walks on trees
Pierre Andreoletti, Alexis Kagan
In this work, we are interested in the set of visited vertices of a tree by a randomly biased random walk . The aim is to study a g…
The heavy range of randomly biased walks on trees
Pierre Andreoletti, Roland Diel
We focus on recurrent random walks in random environment (RWRE) on Galton-Watson trees. The range of these walks, that is the number of sites visited at some fixed time, has been s…
Range and critical generations of a random walk on Galton-Watson trees
Pierre Andreoletti, Xinxin Chen
In this paper we consider a random walk in random environment on a tree and focus on the boundary case for the underlying branching potential. We study the range of this wal…
Renewal structure and local time for diffusions in random environment
Pierre Andreoletti, Alexis Devulder, Grégoire Vechambre
We study a one-dimensional diffusion in a drifted Brownian potential , with $ 0\textless{}κ\textless{}1$, and focus on the behavior of the local times $(\mathcal{L}(t,x),…
Localization and number of visited valleys for a transient diffusion in random environment
Pierre Andreoletti, Alexis Devulder
We consider a transient diffusion in a -drifted Brownian potential with $0\textless{}κ\textless{}1$. We prove its localization at time in the neighborhood of som…