Stochastics, Algebra and Analysis in Classical and Quantum Dynamics: Proceedings of the IVth French-German Encounter on Mathematics and Physics, CIRM, ... 1988

by Sergio Albeverio (Editor)

White Noise and Stochastic Analysis.- Quelques Remarques sur le Cut-Locus sous-Riemannien.- Simulation on Random Graphs of the Epidemic Dynamics of Sexually Transmitted Diseases - A New Model for the Epidemiology of AIDS.- Sur une version à deux dimensions du modele de Ginzburg et Landau pour la supraconductivité.- Differential Calculus and Integration by Parts on Poisson Space.- to Entire Cyclic Cohomology (of Z/2-Graded Banach Algebras).- Stochastic Analysis, Mathematical Structures and Distributions Methods.- Ward Identities for Conformal Models.- Dynamical Systems in Plasma Theory.- Bosonic Strings and Measures on Infinite Dimensional Manifolds.- A Reaction-Diffusion Model for Moderately Interacting Particles.- Nondegeneracy in the Perturbation Theory of Integrable Dynamical Systems.- Energy Forms in Terms of White Noise.- Linear Stability and the Parameter Modulation Approach for Solitary Waves in Hamiltonian Systems with Symmetries.

262 pages, Hardcover

First published February 28, 1990

About the author

Sergio Albeverio (born 17 January 1939) is a Swiss mathematician and mathematical physicist working in numerous fields of mathematics and its applications. In particular he is known for his work in probability theory, analysis (including infinite dimensional, non-standard, and stochastic analysis), mathematical physics, and in the areas algebra, geometry, number theory, as well as in applications, from natural to social-economic sciences.

He initiated (with Raphael Høegh-Krohn) a systematic mathematical theory of Feynman path integrals and of infinite dimensional Dirichlet forms and associated stochastic processes (with applications particularly in quantum mechanics, statistical mechanics and quantum field theory). He also gave essential contributions to the development of areas such as p-adic functional and stochastic analysis as well as to the singular perturbation theory for differential operators. Other important contributions concern constructive quantum field theory and representation theory of infinite dimensional groups. He also initiated a new approach to the study of galaxy and planets formation inspired by stochastic mechanics.