3 papers
math.PR2025
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…
math.PR2025
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 $Î…
math.PR2025
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 a…