Chatrouletterandom holland

04 Jan

Remco van der Hofstad (TU Eindhoven) Arnaud Le Ny (CNRS UPEC Paris Est) The conference will contain two mini-courses of – Pierre Picco (CNRS Marseille) – Béatrice de Tilière (UPEC Paris-Est) There will be talks from invited speakers, in and around the mini-course areas ; Currently confirmed speakers are – Luca Avena (Leiden University) – Rob van den Berg (CWI Amsterdam) – Hao Can (Kyoto University) – Frank den Hollander (Leiden University) – Tim Hulshof (TU Eindhoven) – Bruno Kimura (TU Delft) – Irène Marcovici (Université de Lorraine) – Cyril Marzouk (Université Paris-Sud) – Frank Redig (TU Delft) – Clara Stegehuis (TU Eindhoven) – Daniel Valesin (University of Groningen) On Friday afternoon, June 1, there will be a celebration of the extension of the CNRS label UMI that is awarded to Eurandom.

We are interested in both the quenched and the annealed free energy per monomer in the limit as the polymer becomes large.

In our interpolating “cooling” model, the random environment is resampled along an increasing sequence of deterministic times and we look at different resampling growing regimes. asymptotic speed, large deviations for the empirical speed and fluctuations under recurrence assumptions depending on how fast the resampling occurs.

Proofs are based on a mixture of ergodic theory and concentration inequalities suited to the “cooling” model. Rob van den Berg Near-critical percolation with `heavy-tailed’ impurities In the ordinary site percolation model with parameter p, the vertices of a lattice are, independently of each other, removed with probability 1-p.

For percolation, mean-field behavior can be loosely translated to the statement that their spatial correlation function behaves asymptotically like the Greens function of the simple random walk.

This mean-field behavior can only be expected if the dimension of the underlying lattice is high enough. We explain idea of the lace expansion and explain the problem of applying the models in the dimension d=7,8,9,10.