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N. Berger: Quenched invariance principle for simlpe random walk on percolation clusters

We prove that the random walk on the infinite cluster of supercritical Bernoulli percolation scales to Brownian Motion for almost every configuration. Based on joint work with Marek Biskup.

W. de Roeck: Rigorous derivation of resonance fluorescence statistics

One illuminates an atom with a laser and one counts the photons that are emitted by the atom. What is the statistics of this counting process? An answer to this question goes back at least to Mollow ('68). It has since then often been rederived within the framework of quantum semigroups (analogues of the "classical" markov processes). My contribution is a rigorous connection between a hamiltonian description of the setup (more precisely, the statistics of number operators in the detector) on the one side, and the statistics of that counting process on the other side. The latter emerges from the former in a scaling limit which is known as the Van Hove scaling or the weak coupling limit.

N. Kurt: Entropic Repulsion for Membrane Models

Membrane Models describe the behaviour of interfaces between two phases. We will introduce a class of such models, compare it to the well-known "lattice free field" and ask what happens if we force the interface to stay locally above a "hard wall".

W. M. Ruszel: Chaotic temperature dependence: a bounded spin example

We present a class of examples of nearest-neighbour, bounded-spin models, in which the low-temperature Gibbs measures do not converge as the temperature is lowered to zero, in any dimension.

A. Klimovsky: The Aizenman-Sims-Starr Scheme for the Multidimensional SK Model

We extend the Aizenman-Sims-Starr scheme to the case of the multidimensional Sherrington-Kirkpatrick model. In particular, by comparison with the multidimensional GREM analogue, we get a representation of the limiting free energy in terms of a certain saddle-point Parisi formula. For high enough temperatures the saddle-point formula degenerates to the usual Parisi formula. We also prove a quenched LDP, which may be of independent interest. The talk is based on joint work with A. Bovier (Berlin)

R. Sims: Lieb-Robinson bounds and applications

A. Weiss: Escaping the Brownian stalkers

We consider three particles B, X, Y moving on the real line. B describes a Brownian motion while the movements of X and Y depend on their distance to B. Anyway, it always holds that X <= B <= Y and that X and Y are attracted to B. We prove that the long-time behavior of Y-X depends crucially on the choice of a certain parameter.

R. Balász The mean field self-organized critical forest fire model The forest fire process is random graph process which is a modification of the Erdos-Renyi random graph process, where forest fires delete the edges of big components of the random graph. The evolution of the component-size distribution is related to the Smoluchovski differential equations. The fires keep the system in a state which is similar tho the critical state of the Erdos-Renyi process, this phenomenon is called self-organized criticality.

R. Berezin Cross Entropy for Jobshop problem

A. Cadel The SK model with ferromagnetic interaction

X. Yao Random Intersection Graph: the clustering properties

R. Sun The Brownian net

K. Zygalakis Homogenization for Time-Dependent Inertial Particles

T. Sullivan Deterministic Stick-Slip Dynamics in a Random Potential