Alexander Drewitz

activity

20242026

collaborators

5 papers

math.PR2026

(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $Z^{d}$ , $d > 4$ , and $T_{d}$ , $d \geq 3$

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…

math.PR2025

Arm exponent for the Gaussian free field on metric graphs in intermediate dimensions

Alexander Drewitz, Alexis PrÃ©vost, Pierre-FranÃ§ois Rodriguez

We investigate the bond percolation model on transient weighted graphs $G$ induced by the excursion sets of the Gaussian free field on the corresponding metric graph. We assume t…

math.PR2025

An Invariance Principle for a Random Walk Among Moving Traps via Thermodynamic Formalism

Siva Athreya, Alexander Drewitz, Rongfeng Sun

We consider a random walk among a Poisson cloud of moving traps on $Z^{d}$ , where the walk is killed at a rate proportional to the number of traps occupying the same positi…

math.PR2024

Cluster volumes for the Gaussian free field on metric graphs

We study the volume of the critical clusters for the percolation of the level sets of the Gaussian free field on metric graphs. On $Z^{d}$ below the upper-critical dimension…

math.PR2024

Large deviations at the origin of random walk in random environment

Alexander Drewitz, Alejandro F. RamÃrez, 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…