1 citations · 3 across the 9 of their papers we have counts for
6 papers · 1 filter
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 $…
Toeplitz operators and zeros of square-integrable random holomorphic sections
Alexander Drewitz, Bingxiao Liu, George Marinescu
We use the theory of abstract Wiener spaces to construct a probabilistic model for Berezin-Toeplitz quantization on a complete Hermitian complex manifold endowed with a positive li…
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 , where the walk is killed at a rate proportional to the number of traps occupying the same positi…