Research Interests and Publications
Research interests
- Aggregation and sandpile models
- Percolation and random fields
- Models of statistical mechanics
- Reinforced random walks
- Schramm-Löwner Evolution
Publications and preprints
To find a publication, follow the [doi] link (Journal subscription required) or the electronic journal link. For arXiv preprints, use the [arXiv] link.
The combinatorial approach to the Ising model: foundations and
critical point
[arXiv]
Wouter Kager, Marcin Lis and Ronald Meester (2012).
Stochastic domination and weak convergence of conditioned Bernoulli
random vectors
[ALEA]
[arXiv]
Erik Broman, Tim van de Brug, Wouter Kager and Ronald Meester, ALEA,
Lat. Am. J. Probab. Math. Stat. 9(2) 403–434 (2012).
The hitting time theorem revisited
[doi]
Wouter Kager, Amer. Math. Monthly 118(8) 735–737
(2011).
Rotor-router aggregation on the layered square lattice
[EJC]
[arXiv]
Wouter Kager and Lionel Levine, Elect. J. Combin. 17(1)
#R152 (2010).
Existence and uniqueness of the stationary measure in the continuous
Abelian sandpile
[MPRF]
[arXiv]
Wouter Kager, Ronald Meester and Haiyan Liu, Markov Proc. Rel.
Fields 16(1) 185–204 (2010).
Diamond aggregation
[doi]
[arXiv]
Wouter Kager and Lionel Levine, Math. Proc. Cambridge Phil. Soc.
149(2) 351–372 (2010).
Stochastic Löwner Evolution and the scaling limit of critical
models
Bernard Nienhuis and Wouter Kager, in: Polygons, Polyominoes and
Polycubes, Anthony J. Guttman (ed.), Springer:
Lecture Notes in Physics 775 (2009).
A local limit theorem for the critical random graph
[doi]
Remco van der Hofstad, Wouter Kager and Tobias Müller, Elect.
Comm. in Probab. 14 122–131 (2009).
Pattern theorems, ratio limit theorems and Gumbel maximal clusters for
random fields
[doi]
[arXiv]
Remco van der Hofstad and Wouter Kager, J. Stat. Phys.
130(3) 503–522 (2008).
Diffusion constants and martingales for senile random walks
[arXiv]
Wouter Kager (2007).
Reflected Brownian motion in generic triangles and wedges
[doi]
[arXiv]
Wouter Kager, Stoch. Process. Appl.
117(5) 539–549 (2007).
Conformally invariant paths in 2D statistical physics
with a guide to Schramm-Löwner Evolution
[pdf]
Wouter Kager (2006), PhD thesis. Printed books are available upon
request.
Monte Carlo study of the hull distribution for the q=1 Brauer model
[doi]
[arXiv]
Wouter Kager and Bernard Nienhuis, J. Stat. Mech. (2006) P08004.
A guide to Stochastic Löwner Evolution and its applications
[doi]
[arXiv]
Wouter Kager and Bernard Nienhuis, J. Stat. Phys. 115(5/6)
1149–1229 (2004).
Exact solutions for Loewner evolutions
[doi]
[arXiv]
Wouter Kager, Bernard Nienhuis and Leo P. Kadanoff, J. Stat. Phys.
115(3/4) 805–822 (2004).