Analysis and Stochastics of Growth Processes and Interface Models

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