18 citations · 47 across the 12 of their papers we have counts for
13 papers
Phase transition for strongly correlated percolation models on supercritical Bernoulli clusters
Alberto Chiarini, Zhizhou Liu, Maximilian Nitzschner
We consider the level sets of the Gaussian free field and the vacant set of random interlacements, both defined on a typical realization of the infinite cluster of supercritical Be…
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 …
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…
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…
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…
Phase transition for level-set percolation of the membrane model in dimensions
Alberto Chiarini, Maximilian Nitzschner
We consider level-set percolation for the Gaussian membrane model on , with , and establish that as varies, a non-trivial percolation pha…
Disconnection and entropic repulsion for the harmonic crystal with random conductances
Alberto Chiarini, Maximilian Nitzschner
We study level-set percolation for the harmonic crystal on , , with uniformly elliptic random conductances. We prove that this model undergoes a non-trivial…
Entropic repulsion for the occupation-time field of random interlacements conditioned on disconnection
Alberto Chiarini, Maximilian Nitzschner
We investigate percolation of the vacant set of random interlacements on , , in the strongly percolative regime. We consider the event that the interlacement…
Entropic repulsion for the Gaussian free field conditioned on disconnection by level-sets
Alberto Chiarini, Maximilian Nitzschner
We investigate level-set percolation of the discrete Gaussian free field on , , in the strongly percolative regime. We consider the event that the level-set…
Disconnection by level sets of the discrete Gaussian free field and entropic repulsion
Maximilian Nitzschner
We derive asymptotic upper and lower bounds on the large deviation probability that the level set of the Gaussian free field on , d bigger or equal to three, below a given lev…
Solidification of porous interfaces and disconnection
Maximilian Nitzschner, Alain-Sol Sznitman
In this article we obtain uniform estimates on the absorption of Brownian motion by porous interfaces surrounding a compact set. An important ingredient is the construction of cert…