Preface
Introduction
I QUANTUM AND LATTICE MODELS
Quantum and Lattice Models
1.1. Directed Random Growth Models on the Plane, T. Seppäläinen
1.2. The Pleasures and Pains of Studying the Two-Type Richardson Model, M. Deijfen and O. Häggström
1.3. Ballistic Phase of Self-Interacting Random Walks, D. Ioffe and Y. Velenik
Microscopic to Macroscopic Transition
2.1. Stochastic Homogenization and Energy of Infinite Sets of Points, X. Blanc
2.2. Validity and Non-Validity of Propagation of Chaos, K. Matthies and F. Theil
Applications in Physics
3.1. Applications of the Lace Expansion to Statistical-Mechanical Models, A. Sakai
3.2. Large Deviations for Empirical Cycle Counts of Integer Partitions and Their Relation to Systems of Bosons, S. Adams
3.3. Interacting Brownian Motions and the Gross-Pitaevskii Formula, S. Adams and W. König
3.4. A Short Introduction to Anderson Localization, D. Hundertmark
II MACROSCOPIC MODELS
Nucleation and Growth
4.1. Effective Theories for Ostwald Ripening, B. Niethammer
4.2. Switching Paths for Ising Models with Long-Range Interaction, N. Dirr
4.3. Nucleation and Droplet Growth as a Stochastic Process, O. Penrose
Applications in Physics
5.1. On the Stochastic Burgers Equation with some Applications to Turbulence and Astrophysics, A. Neate and A. Truman
5.2. Liquid Crystals and Harmonic Maps in Polyhedral Domains, A. Majumdar, J. Robbins, and M. Zyskin
Index