57 citations · 200 across the 32 of their papers we have counts for
39 papers
Fractal dimension of critical Gaussian free field sign clusters
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We study metric graph sign clusters of the Gaussian free field on a large class of transient weighted graphs that are sufficiently low-dimensional, i.e. below the mean-field re…
(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on , , and ,
Volker Betz, Alexander Drewitz, Andreas Klippel +1
In this article we investigate the (non)-coincidence of critical parameters for various related percolation problems. More precisely, for the random walk loop soup we show that on…
Cluster volumes for the Gaussian free field on metric graphs
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We study the volume of the critical clusters for the percolation of the level sets of the Gaussian free field on metric graphs. On below the upper-critical dimension…
Large deviations at the origin of random walk in random environment
Alexander Drewitz, Alejandro F. Ramírez, Santiago Saglietti +1
We consider a random walk in an i.i.d. random environment on Zd and study properties of its large deviation rate function at the origin. It was proved by Comets, Gantert and Zeitou…
Critical one-arm probability for the metric Gaussian free field in low dimensions
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We investigate the bond percolation model on transient weighted graphs induced by the excursion sets of the Gaussian free field on the corresponding metric graph. Under the s…
Universality classes for percolation models with long-range correlations
Christopher Chalhoub, Alexander Drewitz, Alexis Prévost +1
We consider a class of percolation models where the local occupation variables have long-range correlations decaying as a power law at large distances , for some $…