Detailed project information

Netwerken, met name het Internet en het World-Wide-Web, zijn onmisbaar geworden. We slaan een brug tussen de structuur van netwerken en hun functionaliteit. Waarom is Google zo efficiënt? Hoe verspreidt een computervirus zich? Hoeveel data kan het Internet aan?

Articles

• M.J. Luczak, Prof. dr. R.W. van der Hofstad (2010). Random subgraphs of the 2D Hamming graph. The supercritical phase.. Probability Theory and Related Fields 147 (1-2). pp. 147 -(1-2)
• Prof. dr. R.W. van der Hofstad, M. Holmes (2010). Monotonicity for excited random walk in high dimensions.. Probability Theory and Related Fields 147(1-2). pp. 333-348
• Prof. dr. R.W. van der Hofstad, M.J. Luczak, J. Spencer (2010). The second largest component in the supercritical 2D Hamming graph.. Random Structures and Algorithms 36(1). pp. 80-89
• S. Dommers, Prof. dr. R.W. van der Hofstad, G. Hooghiemstra (2010). Diameters in preferential attachment models.. Journal of Statistical Physics 139. pp. 72-107
• A. Sakai, Prof. dr. R.W. van der Hofstad (2010). Convergence of the critical finite-range contact process to super-Brownian motion above the upper critical dimension. The higher-point functions. Electronic Journal of Probability, 15(27). pp. 801-894
• Prof. dr. R.W. van der Hofstad, C. Giardina, S. Dommers (2010). Ising models on power-law random graphs.. Journal of Statistical Physics 141. pp. 638-660
• G. Hooghiemstra, Prof. dr. R.W. van der Hofstad, S. Bhamidi (2010). First passage percolation on random graphs with finite mean degrees. Annals of Applied Probability 20(5). pp. 1907-1965
• G. Hooghiemstra, S. Bhamidi, Prof. dr. R.W. van der Hofstad (2010). Extreme value theory, Poisson-Dirichlet distributions and FPP on random networks. Advances in Applied Probability, 42(3). pp. 706-738
• J. van Leeuwaarden, S. Bhamidi, Prof. dr. R.W. van der Hofstad (2010). Scaling limits for critical inhomogeneous random graphs with finite third moments. Electronic Journal of Probability, 15. pp. 1682-1702
• A.J.E.M. Janssen, J.S.H van Leeuwaarden (2010). Critical epidemics, random graphs and Brownian motion with a parabolic drift.. Advances in Applied Probability. pp. 1187-1206
• M. Heydenreich (2011). Random graph asymptotics on high-dimensional tori II. Volume, diameter and mixing time. Probability Theory and Related Field. pp. 397-415
• S. Bhamidi (2011). First passage percolation on the Erdös-Rényi random graph. Combinatorics, Probability and Computing . pp. 683-707
• M. Holmes (2012). An expansion for self-interacting random walks.. Brazilian Journal of Probability and Statistics. pp. 1-55

Bijdragen aan boeken

• Prof. dr. R.W. van der Hofstad, I. Molchanov, W.S. Kendall (2010). Percolation and random graphs. in: New Perspectives on Stochastic Geometry. : . pp. 173-247. ISBN 978-0-19-923257.