30 citations · 70 across the 12 of their papers we have counts for
15 papers
Random Forests and Networks Analysis
L. Avena, F. Castell, A. Gaudilliere +1
D. Wilson~\cite{[Wi]} in the 1990's described a simple and efficient algorithm based on loop-erased random walks to sample uniform spanning trees and more generally weighted trees…
Intertwining wavelets or Multiresolution analysis on graphs through random forests
Luca Avena, Fabienne Castell, Alexandre Gaudillière +1
We propose a new method for performing multiscale analysis of functions defined on the vertices of a finite connected weighted graph. Our approach relies on a random spanning fores…
Approximate and exact solutions of intertwining equations through random spanning forests
Luca Avena, Fabienne Castell, Alexandre Gaudillière +1
For different reversible Markov kernels on finite state spaces, we look for families of probability measures for which the time evolution almost remains in their convex hull. Motiv…
Persistence exponent for random processes in Brownian scenery
Fabienne Castell, Nadine Guillotin-Plantard, Frederique Watbled
In this paper we consider the persistence properties of random processes in Brownian scenery, which are examples of non-Markovian and non-Gaussian processes. More precisely we stud…
Exponential moments of self-intersection local times of stable random walks in subcritical dimensions
Fabienne Castell, Clément Laurent, Clothilde Mélot
Let be an -stable random walk with values in . Let be its local time. For , not necessarily integer, $I_t = \sum_x l…
On the local time of random processes in random scenery
Fabienne Castell, Nadine Guillotin--Plantard, Françoise Pène +1
Random walks in random scenery are processes defined by , where basically and are two independent sequences o…