The research program Probability studies random spatial structures and its applications in statistical physics and networking, with a focus on random networks, spin systems and self-interacting random processes. The main aim is to identify the scaling behavior for these systems, by applying methodology such as large deviations, combinatorial expansions and coupling techniques. The research is fundamental in nature, the questions posed being inspired by applications. The group has several PhD students and postdocs, in particular via a Vici grant (Van der Hofstad).
The group takes a leading role in the Random Spatial Structures project of the European research institute EURANDOM.
1. C. Borgs, J.T. Chayes, R. van der Hofstad, G. Slade and J. Spencer. Random subgraphs of nite graphs: II. The lace expansion and the triangle condition. Annals of Probability 33: 1886-1944, (2005).
2. A.C.D. van Enter, W.M. Ruszel. Gibbsianness versus non-Gibbsianness of time-evolved planar rotor models. Stochastic Processes Applications. 119(6): 1866-1888, (2009).
3. R. van der Hofstad, G. Hooghiemstra and D. Znamenski. Distances in random graphs with
nite mean and innite variance degrees. Electronic Journal of Probability. 12: 703-766,
4. R. van der Hofstad, G. Slade (2003). Convergence of critical oriented percolation to super-Brownian motion above 4+1 dimensions. Annales de l'Institut Henri Poincaré (B) :
Probabilités et Statistiques, 39(3), 413-485.
5. F. den Hollander, F.R. Nardi, E. Olivieri and E. Scoppola. Droplet growth for three-dimensional Kawasaki dynamics. Probab. Theory Related Fields 125(2): 153194, (2003).