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Analysis and Stochastics of Growth Processes and Interface Models

Peter Mörter et al., editors
Publisher: 
Oxford University Press
Publication Date: 
2008
Number of Pages: 
336
Format: 
Hardcover
Price: 
80.00
ISBN: 
9780199239252
Category: 
Anthology
We do not plan to review this book.

 

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 

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