Exact Steady State Properties of the One Dimensional Asymmetric Exclusion Model -- Droplet Condensation in the Ising Model: Moderate Deviations Point of View -- Shocks in one-Dimensional Processes with Drift -- Self-Organization of Random Cellular Automata: Four Snapshots -- Percolative Problems -- Mean-Field Behaviour and the Lace Expansion -- Long Time Tails in Physics and Mathematics -- Multiscale Analysis in Disordered Systems: Percolation and contact process in a Random Environment -- Geometric Representation of Lattice Models and Large Volume Asymptotics -- Diffusion in Random and Non-Linear PDE's -- Random Walks, Harmonic Measure, and Laplacian Growth Models -- Survival and Coexistence in Interacting Particle Systems -- Constructive Methods in Markov Chain Theory -- A Stochastic Geometric Approach to Quantum Spin Systems -- Disordered Ising Systems and Random Cluster Representations -- Planar First-Passage Percolation Times are not Tight -- Theorems and Conjectures on the Droplet-Driven Relaxation of Stochastic Ising Models -- Metastability for Markov Chains: A General Procedure Based on Renormalization Group Ideas.