Willem van Zuijlen

activity

20132023

most citedGibbs-non-Gibbs dynamical transitions for mean-field interacting Brownian motions

17 citations · 54 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.PR2020★ 4 cited

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) $\partial_{t} u = \frac{1}{2} Δ u + ξ u$ in $R^{2}$ with a Gaussian (space) white-noise potential $ξ$ . We prove that the almost-sure la…

math.PR2020★ 13 cited

Quantitative heat kernel estimates for diffusions with distributional drift

Nicolas Perkowski, Willem van Zuijlen

We consider the stochastic differential equation on $R^{d}$ given by $d X_{t} = b (t, X_{t}) d t + d B_{t},$ where $B$ is a Brownian motion and…