Willem van Zuijlen

Research Interests

My research interestests lie in within the fields of Probability (Stochastic Analysis and Statistical Mechanics) and Functional Analysis. In particular:

SPDEs: Stochastic Partial Differential Equations Random (Schrödinger) Operators Random Walks Paracontrolled Distributions

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, Orcid or Arxiv.

11	Top of the spectrum of discrete Anderson Hamiltonians with correlated Gaussian potentials Giuseppe Cannizzaro, Cyril Labbé, Willem van Zuijlen	[arXiv] [version + calculations]
10	Weakly self-avoiding walk in a pareto-distributed random potential W. König, Nicolas Pétrélis, Renato Soares dos Santos, Willem van Zuijlen	[arXiv] [version + calculations]
9	Anderson Hamiltonians with singular potentials T. Matsuda, W. van Zuijlen	[arXiv] [version + calculations]
8	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. 58 no.3 (2022):1351-1384.	[journal] [arXiv] [version + calculations]
7	Quantitative heat kernel estimates for diffusions with distributional drift N. Perkowski, W. van Zuijlen Potential Analysis. 59 (2023): 731-752	[journal] [arXiv] [version + calculations]
6	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] [Published version] [arXiv] [Version + calculations]
5	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]
4	Large Deviations of Continuous Regular Conditional Probabilities W. van Zuijlen Journal of Theoretical Probability. 31 no.2 (2018):1058-1096.	[journal] [arXiv]
3	Bochner integrals in ordered vector spaces A.C.M. van Rooij, W.B. van Zuijlen Positivity. 21 no.3 (2017):1089-1113.	[journal] [arXiv]
2	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]
1	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]