Willem van Zuijlen

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

Full Curriculum Vitae

CV March 2023

Academic positions

01/2021 -	Postdoc position at WIAS Berlin.
06/2018 - 12/2020	Postdoc within SPP1590 Probabilistic Structures in Evolution. WIAS Berlin.
10/2016 - 05/2019	Postdoc within FOR2402 Rough paths, stochastic partial differential equations and related topics. WIAS Berlin and Humboldt Universität zu Berlin.

Academic eduction

2012 - 2016	PhD in Mathematics Leiden University Thesis: Gibbs-non-Gibbs Transitions and Vector-Valued Integration. Supervisors: F. den Hollander, F. Redig
2010 - 2012	Masters in Mathematics Radboud University Nijmegen Thesis: Integration for functions with values in a Riez space. Advisor: A. van Rooij
2007 - 2012	Bachelor in Mathematics Radboud University Nijmegen Thesis: C(X) determines X Advisor: A. van Rooij

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]
  

Teaching

Summer term 2022:	SPDEs: Classical and new www.mi.fu-berlin.de Tuesday 16:00 - 18:00. All announcements are communicated via Whiteboard.
Winter term 2021:	Theory of function spaces and applications www.mi.fu-berlin.de All announcements and updates of the lecture notes are communicated via Whiteboard. Lecture Notes Theory of Function Spaces April 2022.
Summer term 2021:	Integraltransformationen und partielle Differentialgleichungen f�r Ingenieurwissenschaften TU Berlin. All the information goes via isis.tu-berlin.de/course/view.php?id=24239
Summer term 2020:	Theory of function spaces and applications www.mi.fu-berlin.de Lecture Notes Theory of Function Spaces 2020.

Teaching Assistent at the Leiden University

Autumn 2015	Random Walks. (Bachelor) Lecture Notes
Autumn 2014	Random Walks. (Bachelor)
Spring 2014	Random Walks. (Bachelor)
Autumn 2013	Functional Analysis. (Master, Dutch `Mastermath' programme)
Spring 2013	Statistics (Bachelor, for the studies Life Science and Technology)
Autumn 2012	Calculus (Bachelor, for the studies Biopharmaceutical Science)

Teaching Assistent at the Radboud University Nijmegen

Spring 2012	Introduction to Partial Differential Equations (Bachelor)
Autumn 2011	Analysis 2 (Bachelor)
Spring 2011	Introduction to Partial Differential Equations (Bachelor)
Autumn 2010	Advanced Statistics (Bachelor)
Spring 2010	Analysis 1 (Bachelor)
Autumn 2009	Numbers (Introduction to Algebra and Analysis) (Bachelor)

Links to seminars

• Interacting Random Systems, WIAS, Wednesday at 11:30 (CEST).
• Rough paths, SPDEs and related topics, TU Berlin, Thursday at 11:00 (CEST).
• Research Seminar in Stochastics, FU Berlin, Friday at 10:00 (CEST).

Lecture notes and Theses

• Lecture Notes Theory of Function Spaces 2020.
• A note on convergence of sequences compared with the topology generated by that convergence.
• Find lecture notes on Random Walks on math.leidenuniv.nl/probability .
• PhD thesis: Gibbs-non-Gibbs Transitions and Vector-Valued Integration.
  
• Masters Thesis: Integration for functions with values in a Riez space.