13 citations · 29 across the 5 of their papers we have counts for
5 papers
Weakly self-avoiding walk in a pareto-distributed random potential
Wolfgang König, Nicolas Pétrélis, Renato Soares dos Santos +1
We investigate a model of continuous-time simple random walk paths in undergoing two competing interactions: an attractive one towards the large values of a random p…
Anderson Hamiltonians with singular potentials
Toyomu Matsuda, Willem van Zuijlen
We construct random Schrödinger operators, called Anderson Hamiltonians, with Dirichlet and Neumann boundary conditions for a fairly general class of singular random potentials on…
Longtime asymptotics of the two-dimensional parabolic Anderson model with white-noise potential
Wolfgang König, Nicolas Perkowski, Willem van Zuijlen
We consider the parabolic Anderson model (PAM) in with a Gaussian (space) white-noise potential . We prove that the almost-sure la…
Quantitative heat kernel estimates for diffusions with distributional drift
Nicolas Perkowski, Willem van Zuijlen
We consider the stochastic differential equation on given by where is a Brownian motion and…
Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions
Khalil Chouk, Willem van Zuijlen
In this paper we consider the Anderson Hamiltonian with white noise potential on the box with Dirichlet boundary conditions. We show that all the eigenvalues divided by $…