1 citations · 1 across the 5 of their papers we have counts for
7 papers
The constant speed random walk on dynamical conductances
Eszter Couillard, Carlo Scali
In this paper we study the constant speed, biased random walk in dynamical random conductances. In certain regimes of the parameters of the model, we prove that the random walk is…
On the phase transition for the number of collisions on comb graphs
Umberto De Ambroggio, Jenson Ng, Maximilian Nitzschner +1
We consider collisions of simple random walks on comb graphs , which are obtained by attaching vertical segments of the form …
Collisions of random walks on comb graphs with a planar base
Umberto De Ambroggio, Maximilian Nitzschner, Carlo Scali
In this article we study collisions of two independent random walks on comb graphs for a large class of recurrent planar graphs and profile…
Quenched scaling limit for biased random walks on random, heavy tailed conductances: low dimensions
Umberto De Ambroggio, Carlo Scali
We consider a random walk amongst positive random conductances on , with directional bias. When the conductances have a stable distribution with parameter $γ…
Quenched limit for diffusive biased random walks in random environment
Carlo Scali
We prove that every directionally transient random walk in random i.i.d.\ environment, under condition , which admits an annealed functional limit towards Brownian motion al…
Aging and sub-aging for one-dimensional random walks amongst random conductances
David A. Croydon, Daniel Kious, Carlo Scali
We consider random walks amongst random conductances in the cases where the conductances can be arbitrarily small, with a heavy-tailed distribution at 0, and where the conductances…
Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime
Alexander Fribergh, Tanguy Lions, Carlo Scali
We consider a biased random walk in positive random conductances on for . In the sub-ballistic regime, we prove the quenched convergence of the properly res…