Probability in Complex Physical Systems

Probabilistic approaches have played a prominent role in the study of complex physical systems for more than thirty years. This volume collects twenty articles on various topics in this field, including self-interacting random walks and polymer models in random and non-random environments, branching processes, Parisi formulas and metastability in spin glasses, and hydrodynamic limits for gradient Gibbs models. The majority of these articles contain original results at the forefront of contemporary research; some of them include review aspects and summarize the state-of-the-art on topical issues – one focal point is the parabolic Anderson model, which is considered with various novel aspects including moving catalysts, acceleration and deceleration and fron propagation, for both time-dependent and time-independent potentials. The authors are among the world’s leading experts. This Festschrift honours two eminent researchers, Erwin Bolthausen and Jürgen Gärtner, whose scientific work has profoundly influenced the field and all of the present contributions.

• 60Gxx, 60Gxx, 82Bxx, 82Cxx, 82Dxx
• interacting random walks
• large deviations
• parabolic Anderson model
• random media
• statistical mechanics

• Institute for Mathematics, TU Berlin, Berlin, Germany

  Jean-Dominique Deuschel, Max von Renesse, Michael Scheutzow

• Faculty of Mathematics, University of Bielefeld, Bielefeld, Germany

  Barbara Gentz

• for Applied Analysis and Stochastics, Weierstrass Institute Berlin, Berlin, Germany

  Wolfgang König

• Institute for Mathematical, Methods in Economics, Vienna University of Technology, Vienna, Austria

  Uwe Schmock

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