Conference Proceedings, Canadian Mathematical Society 2000; 333 pp; softcover Volume: 28 ISBN10: 0821819593 ISBN13: 9780821819593 List Price: US$92 Member Price: US$73.60 Order Code: CMSAMS/28
 This volume and Stochastic Processes, Physics and Geometry: New Interplays. II present stateoftheart research currently unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honor of Sergio Albeverio's sixtieth birthday. The theme of the conference, "Infinite Dimensional (Stochastic) Analysis and Quantum Physics", was chosen to reflect Albeverio's wideranging scientific interests. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes, mathematical physics, and geometry. The contributions are written by internationally recognized experts in the fields of stochastic analysis, linear and nonlinear (deterministic and stochastic) PDEs, infinite dimensional analysis, functional analysis, commutative and noncommutative probability theory, integrable systems, quantum and statistical mechanics, geometric quantization, and neural networks. Also included are applications in biology and other areas. Most of the contributions are highlevel research papers. However, there are also some overviews on topics of general interest. The articles selected for publication in these volumes were specifically chosen to introduce readers to advanced topics, to emphasize interdisciplinary connections, and to stress future research directions. Volume I contains contributions from invited speakers; Volume II contains additional contributed papers. Titles in this series are copublished with the Canadian Mathematical Society. Members of the Canadian Mathematical Society may order at the AMS member price. Readership Graduate students, research mathematicians, and physicists. Table of Contents  F. Gesztesy, H. Holden, J. Jost, S. Paycha, M. Röckner, and S. Scarlatti  A brief curriculum vitae of Sergio Albeverio
 F. Gesztesy, H. Holden, J. Jost, S. Paycha, M. Röckner, and S. Scarlatti  Students and postdoctoral fellows supervised by Sergio Albeverio
 F. Gesztesy, H. Holden, J. Jost, S. Paycha, M. Röckner, and S. Scarlatti  Publications of Sergio Albeverio
 P. Blanchard  On the occasion of Sergio Albeverio's 60th birthday
 G. B. Arous and A. F. Ramirez  Growth and saturation in random media
 Z. Brzeźniak and S. Peszat  Maximal inequalities and exponential estimates for stochastic convolutions in Banach spaces
 A. M. Chebotarev and V. P. Maslov  On Markov evolution equations in quotient probability spaces
 G. Da Prato and A. Debussche  Maximal dissipativity of the Dirichlet operator corresponding to the Burgers equation
 G. F. Dell'Antonio, R. Figari, and A. Teta  The Schrödinger equation with moving point interactions in three dimensions
 C. Drumond, M. de Faria, and L. Streit  The square of self intersection local time of Brownian motion
 D. Dürr and S. Teufel  On the role of flux in scattering theory
 E. B. Dynkin  Probability and nonlinear analysis
 K. D. Elworthy and X.M. Li  Special Itô maps and an \(L^2\) Hodge theory for one forms on path spaces
 V. Z. Enolskii, F. Gesztesy, and H. Holden  The classical massive Thirring system revisited
 M. Fukushima  On Ito's formulae for additive functionals of symmetric diffusion processes
 D. Hundertmark and W. Kirsch  Spectral theory of sparse potentials
 G. JonaLasinio  Invariant measures under Schrödinger evolution and quantum statistical mechanics
 Yu. G. Kondratiev, R. A. Minlos, M. Röckner, and G. V. Shchepan'uk  Exponential mixing for classical continuous systems
 Z.M. Ma and M. Röckner  Diffusions on "simple" configuration spaces
 R. A. Minlos  One and twoparticle branches of the spectrum of "many component" operators
 H. Ouerdiane and A. Rezgui  Représentation intégrale de fonctionnelles analytiques positives
 M. Piccioni and S. Scarlatti  Mean field models and propagation of chaos in feedforward neural networks
 M. SanzSolé and M. Sarrà  Path properties of a class of Gaussian processes with applications to spde's
 B. Simon  A FeynmanKac formula for unbounded semigroups
 B. Zegarliński  Hypercontractivity in noncommutative \(\bf L_p\) spaces
