Conference Proceedings, Canadian Mathematical Society 2000; 647 pp; softcover Volume: 29 ISBN10: 0821819607 ISBN13: 9780821819609 List Price: US$145 Member Price: US$116 Order Code: CMSAMS/29
 This volume and Stochastic Processes, Physics and Geometry: New Interplays. I 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  V. Adamyan and B. Pavlov  Valuation of bonds and options under floating interest rate
 I. Ya. Aref'eva and I. V. Volovich  The large time behaviour in quantum field theory and quantum chaos
 L. V. Bogachev, S. A. Molchanov, Yu. A. Makhnovskii, and A. M. Berezhkovskii  Correlation effects in the trapping problem: General approach and rigorous results
 B. BoossBavnbek  Boundary reduction of spectral invariantsResults and puzzles
 S. Borac and R. Seiler  Loop group factorization of biorthogonal wavelet bases
 J. F. Brasche, M. M. Malamud, and H. Neidhardt  Weyl functions and singular continuous spectra of selfadjoint extensions
 J. Brüning  Irregular spectral asymptotics
 L. Cattaneo and U. Cattaneo  The Lagrangian gauge problem in classical mechanics and group cohomology
 F. Cipriani  Perron theory for positive maps and semigroups on von Neumann algebras
 Ph. Clément, G. Gripenberg, and V. Högnäs  Some remarks on the method of sums
 M. Demuth  Stochastic processes and the spectrum of Feller operators
 B. K. Driver and B. C. Hall  The energy representation has no nonzero fixed vectors
 G. G. Emch and A. Z. Jadczyk  Weakly projective representations, quaternions, and monopoles
 P. Exner  Point interactions in a tube
 R. Fan and K. Lange  Asymptotic properties of the maximal subinterval of a Poisson process
 F. Figliolini and D. Guido  Inclusions of second quantization algebras
 L. Gawarecki and V. Mandrekar  Weak solutions to stochastic differential equations with discontinuous drift in Hilbert space
 F. Gesztesy, K. A. Makarov, and A. K. Motovilov  Monotonicity and concavity properties of the spectral shift function
 V. A. Geyler and V. A. Margulis  Zerorange perturbations of the Schrödinger operator with a saddlepoint potential
 R. Gielerak and P. Ługiewicz  4D gaugelike quantum fields from rectangular systems of stochastic partial differential equations
 G. A. Goldin and U. Moschella  Generalized configuration spaces for quantum systems
 K. Gustafson  A composition adjoint lemma
 K. Habermann  An \(M_p^{\mathbb C}\)spinorial approach to a geometrictype quantization for symplectic manifolds
 A. Hilbert and R. Léandre  NagelSteinWainger estimates for balls associated with the Bismut condition
 F. Hiroshima  Euclidean GellMannLow formula and double stochastic integrals
 H. Holden, K. H. Karlsen, and K.A. Lie  Operator splitting methods for degenerate convectiondiffusion equations I: Convergence and entropy estimates
 Y. Hu  A class of SPDE driven by fractional white noise
 Y. Hu, B. Øksendal, and T. Zhang  Stochastic partial differential equations driven by multiparameter fractional white noise
 P. Imkeller  Some support properties of the laws of invariant spaces of stochastic differential equations
 G. W. Johnson and L. Nielsen  A stability theorem for Feynman's operational calculus
 N. A. Kachanovsky  On a biorthogonal approach to the construction of nonGaussian analysis
 G. Karner  Twist maps, kicked rotors, and quantum chaos
 W. Karwowski and V. Koshmanenko  The generalized Laplace operator in \(L_2(\mathbb R^n)\)
 A. Khrennikov and B. Tirozzi  Learning of \(p\)adic neural networks
 Y. Kozitsky  Quantum effects in lattice models of vector anharmonic oscillators
 P. Kurasov and K. Watanabe  On rank one \(H_{\_3}\)perturbations of positive selfadjoint operators
 K. Kuwae  On a strong maximum principle for Dirichlet forms
 B.H. Li and Y.Q. Li  On the relation between the model product and the harmonic product of distributions
 X. D. Li  Sobolev spaces and capacity theory on path spaces
 V. Liebscher  Integration by parts formulae for point processes
 J. M. Lindsay and S. J. Wills  Fock space Markovian cocycles: Their representation, generation, and dilation
 I. Mitoma  Wiener space approach to a perturbative ChernSimons integral
 L. M. Morato  From Nelson's kinematics to symmetric and non symmetric groundstate transformations
 G. Morchio and F. Strocchi  Representations of *algebras in indefinite inner product spaces
 D. Noja and A. Posilicano  Delta interactions and electrodynamics of point particles
 N. Obata  Coherent state representations in white noise calculus
 Y. Oshima  Certain ratio limit theorem for time inhomogeneous Markov chains
 H. Osswald  Infinitesimals in abstract Wiener spaces
 G. Panati and A. Teta  The fluxacrosssurfaces theorem for a point interaction Hamiltonian
 B. Rüdiger and J.L. Wu  Construction by subordination of processes with jumps on infinite dimensional state spaces and corresponding non local Dirichlet forms
 A. Sergeev  Diff\(_+(S^1)/S^1\) as a space of complex structures on loop spaces of compact Lie groups
 O. G. Smolyanov, H. v. Weizsäcker, and O. Wittich  Brownian motion on a manifold as limit of stepwise conditioned standard Brownian motions
 R. F. Streater  The analytic quantum information manifold
 M. Takeda  \(L^p\)independence of the spectral radius of symmetric Markov semigroups
 M. Zähle  Measure theoretic Laplace operators on fractals
 W. Zheng  Estimation of the phase transition time in the Stefan problem
 W. Zhengdong  Cocycles of loop groups
