3 citations · 4 across the 2 of their papers we have counts for
4 papers
Loop-erased partitioning of a graph: mean-field analysis
Luca Avena, Alexandre Gaudilliere, Paolo Milanesi +1
We consider a random partition of the vertex set of an arbitrary graph that can be sampled using loop-erased random walks stopped at a random independent exponential time of parame…
Random walk in cooling random environment: recurrence versus transience and mixed fluctuations
Luca Avena, Yuki Chino, Conrado da Costa +1
This is the third in a series of papers in which we consider one-dimensional Random Walk in Cooling Random Environment (RWCRE). The latter is obtained by starting from one-dimensio…
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…
Law of large numbers for a class of random walks in dynamic random environments
L. Avena, F. den Hollander, F. Redig
In this paper we consider a class of one-dimensional interacting particle systems in equilibrium, constituting a dynamic random environment, together with a nearest-neighbor random…