I am a postdoc at the Weierstrass
Institute in Berlin, in the research group Interacting
Random Systems.
My main scientific interests lie in the treatment of models from
stochastic analysis and statistical mechanics. I am working on topics
like spectra of random operators, behaviour of singular stochastic
partial differential equations, self-repellent random walks in
random media, dynamical Gibbs-non-Gibbs transitions, and derive
rigorous results about their
asymptotic behaviour by using technical tools from analysis.
I am taking care of the SPP2265
Website. For updates please contact me via spp2265 (at)
wias-berlin.de.
Contact
See also
wias-berlin.de
for my contact information.
Address: |
Weierstrass Institute |
|
Dr. Willem van Zuijlen |
|
Mohrenstrasse 39 |
|
10117 Berlin |
|
Germany |
Email: |
vanzuijlen (at) wias-berlin.de |
Research Interests
- Stochastic Partial Differential Equations
-
Random Walks
- Paracontrolled Calculus
- Harmonic Analysis
- Stochastic Processes
|
- Random Operators
- Large deviations
- Gibbs-non-Gibbs transitions
- Partially Ordered Vector spaces and Riesz space
theory
- Measure and Integration Theory
|
Publications and preprints
To some papers there is an ''own version'', which is an
extended version with additional calculations given in yellow.
See also Google Scholar or
Arxiv.
-
Anderson Hamiltonians with singular potentials
T. Matsuda, W. van Zuijlen
[arXiv]
[Version + calculations]
- Longtime
asymptotics of the two-dimensional parabolic Anderson model with
white-noise potential
W. König, N. Perkowski, W. van Zuijlen
Annales de l'Institut Henri Poincaré.
[Journal]
[arXiv]
[Version + calculations]
- Quantitative heat
kernel estimates for diffusions with distributional drift
N. Perkowski, W. van Zuijlen
Potential Analysis (2022).
[Journal]
[arXiv]
[Version + calculations]
- Asymptotics of the
eigenvalues of the Anderson
Hamiltonian with white noise potential in two dimensions
K. Chouk, W. van Zuijlen
Annals of Probability. 49 no.4 (2021):1917-1964.
[Journal] [Pdf] [arXiv]
[Version + calculations]
- A Hamilton-Jacobi point of view on mean-field gibbs-non-gibbs transitions
R. Kraaij, F. Redig, W. van Zuijlen
Transactions of the American
Mathematical Society. 374 no.8 (2021):5287-5329.
[Journal]
[arXiv]
- Large Deviations of Continuous Regular Conditional Probabilities
W. van Zuijlen
Journal of Theoretical Probability. 31 no.2 (2018):1058-1096.
[Journal]
[arXiv]
- Bochner integrals in ordered vector spaces
A.C.M. van Rooij, W.B. van Zuijlen
Positivity. 21 no.3 (2017):1089-1113.
[Journal]
[arXiv]
- Integrals for functions with values in a partially ordered vector space
A.C.M. van Rooij, W.B. van Zuijlen
Positivity.
22 no.4 (2016):877-916.
[Journal]
[arXiv]
- Gibbs-non-Gibbs dynamical transitions for mean-field interacting Brownian motions
F. den Hollander, F. Redig, W. van Zuijlen
Stochastic Processes and their Applications. 125 no.1 (2015):371-400.
[Journal]
[arXiv]