5 papers
Solidification estimates for random walks on supercritical percolation clusters
Alberto Chiarini, Zhizhou Liu, Maximilian Nitzschner
We consider the simple random walk on the infinite cluster of a general class of percolation models on , , including Bernoulli percolation as well as models…
Non-coincidence of critical points for directed polymers on supercritical percolation clusters
Francesca Cottini, Maximilian Nitzschner
We consider the model of a directed polymer in a random environment defined on the infinite cluster of supercritical Bernoulli bond percolation in dimensions . For this m…
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…
Lower bounds for bulk deviations for the simple random walk on ,
Alberto Chiarini, Maximilian Nitzschner
This article investigates the behavior of the continuous-time simple random walk on , . We derive an asymptotic lower bound on the principal exponential rat…
Absence of weak disorder for directed polymers on supercritical percolation clusters
Maximilian Nitzschner
We study the directed polymer model on infinite clusters of supercritical Bernoulli percolation containing the origin in dimensions , and prove that for almost every real…