Stochastic Processes, Physics and Geometry

Sergio Albeverio's 60th birthday was celebrated by an international conference organized in Leipzig during January 18-22, 1999, and these books present articles that originated from invited talks at this conference. The theme of the conference, " Infinite Dimensional (Stochastic) Analysis and Quantum Physics " , was chosen to reflect the wide range of Sergio's scientific interests. Indeed, the seventy eight articles contained in these volumes deal with a wide range of subjects in mathematical physics involving probability, operator theory, spectral theory, statistical physics, integrable systems, quantum field theory, PDE's, stochastic analysis, and many others. Most of the articles contain original results and their scope and breadth mark the ultimate success of the conference. The first volume begins with a preface by the editors, a brief curriculum vitae of Sergio Albeverio, and a touching opening address by Philippe Blanchard describing the life and personality of Sergio. They are followed by twenty one articles, which include: —Growth and saturation in random media (G. Ben Arous and A.F. Ramirez) —Probablity and nonlinear analysys (E.B. Dynkin)