24 citations · 91 across the 18 of their papers we have counts for
4 papers · 2 filters
Biased random walk on the interlacement set
Alexander Fribergh, Serguei Popov
We study a biased random walk on the interlacement set of for . Although the walk is always transient, we can show, in the case , that for any value of…
Scaling limit for the ant in a simple labyrinth
Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh
We prove that, after suitable rescaling, the simple random walk on the trace of a large critical branching random walk converges to the Brownian motion on the integrated super-Brow…
Scaling limit for the ant in high-dimensional labyrinths
Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh
We study here a detailed conjecture regarding one of the most important cases of anomalous diffusion, i.e the behavior of the "ant in the labyrinth". It is natural to conjecture (s…
Scaling limits for sub-ballistic biased random walks in random conductances
Alexander Fribergh, Daniel Kious
We consider biased random walks in positive random conductances on the d-dimensional lattice in the zero-speed regime and study their scaling limits. We obtain a functional Law of…