17 citations · 54 across the 9 of their papers we have counts for
9 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 $…
A Hamilton-Jacobi point of view on mean-field Gibbs-non-Gibbs transitions
Richard C. Kraaij, Frank Redig, Willem B. van Zuijlen
We study the loss, recovery, and preservation of differentiability of time-dependent large deviation rate functions. This study is motivated by mean-field Gibbs-non-Gibbs transitio…
Bochner integrals in ordered vector spaces
Arnoud van Rooij, Willem van Zuijlen
We present a natural way to cover an Archimedean directed ordered vector space by Banach spaces and extend the notion of Bochner integrability to functions with values in .…
Integrals for functions with values in a partially ordered vector space
Arnoud van Rooij, Willem van Zuijlen
We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions. Applying both extensions to…
Gibbs-non-Gibbs dynamical transitions for mean-field interacting Brownian motions
Frank den Hollander, Frank Redig, Willem van Zuijlen
We consider a system of real-valued spins interacting with each other through a mean-field Hamiltonian that depends on the empirical magnetization of the spins via a general potent…