Stochastic Analysis and Related Topics VI: Proceedings of the Sixth Oslo-Silivri Workshop Geilo 1996 - Progress in Probability Softcover reprint of the original 1st ed. 1998 edition

Description for Sales People: [see attached] Stochastic analysis has proved to be one of the most widely applicable mathematical tools available to researchers in a variety of scientific and engineering disciplines. This volume is an outgrowth of the 7th Silivri Workshop and features articles on a variety of rich topics, including: * an analysis of heat kernels on infinite dimensional manifolds, * the Hausdorff measure on Wiener space and its applications to Malliavin Calculus, * short time asymptotics of diffusion processes with values in infinite dimensional manifolds, * large deviations of diffusions with discontinuous drifts, * stochastic integration with respect to the fractional Brownian motion (which is not a semimartingale), * Stokes' formula for the Brownian sheet, * topics treating modeling systems with long memory The broad selection of surveys presented demonstrates the powerful stochastic techniques of prominent researchers and will be of interest to researchers, graduate students, and mathematical economists. Table of Contents: Main Lectures.- 1 Stochastic Differential Systems With Memory. Theory, Examples and Applications.- 2 Backward Stochastic Differential Equations and Viscosity Solutions of Systems of Semilinear Parabolic and Elliptic PDEs of Second Order.- Contributed Papers.- 3 Stochastic Analysis on Lie Groups.- 4 A Conditional Independence Property for the Solution of a Linear Stochastic Differential Equation with Lateral Conditions.- 5 Numerical Solution of the Pressure Equation for Fluid Flow in a Stochastic Medium.- 6 The Burgers Equation with a Non-Gaussian Random Force.- 7 A Verification Theorem for Combined Stochastic Control and Impulse Control.- 8 Energy Identities and Estimates for Anticipative Stochastic Integrals on a Riemannian Manifold.- 9 On Conditional Characteristic Functions of Second Order Wiener Functionals.- 10 A Variation of Parameters Solution of a Quasilinear Skohorod SDE using the Wick Product.- 11 Diagonal Estimates of Transition Densities for Jump Processes in Small Time.- 12 Non-Kolmogorov Probabilistic Models with p-adic Probabilities and Foundations of Quantum Mechanics.- 13 Smoothness of the Solution Operator of Stochastic Differential Equations with Infinite Dimensional Parameters.- 14 Nonlinear SPDEs: Colombeau Solutions and Pathwise Limits.- 15 Construction of a Quantum Field Linked to the Coulomb Potential.- 16 The Sard Inequality on Two Non-Gaussian Spaces.- 17 Regularity of the Law for a Class of Anticipating Stochastic Differential Equations.- 18 Fubini s Theorem for Plane Stochastic Integrals.- 19 Stability and Vanishing Viscosity for a Class of SPDEs Related to Turbulent Transport.- 20 Probabilistic Interpretation of the Symmetry Group of Heat Equations.- 21 On the Strong Feller Property of the Semi-Groups Generated by Non-Divergence Operators with LP Drift."Publisher Marketing: This volume contains the contributions of the participants of the Sixth Oslo-Silivri Workshop on Stochastic Analysis, held in Geilo from July 29 to August 6, 1996. There are two main lectures Stochastic Differential Equations with Memory, by S. E. A. Mohammed, Backward SDE's and Viscosity Solutions of Second Order Semilinear PDE's, by E. Pardoux. The main lectures are presented at the beginning of the volume. There is also a review paper at the third place about the stochastic calculus of variations on Lie groups. The contributing papers vary from SPDEs to Non-Kolmogorov type probabilistic models. We would like to thank VISTA, a research cooperation between Norwegian Academy of Sciences and Letters and Den Norske Stats Oljeselskap (Statoil), CNRS, Centre National de la Recherche Scientifique, The Department of Mathematics of the University of Oslo, The Ecole Nationale Superieure des Telecommunications, for their financial support. L. Decreusefond J. Gjerde B. 0ksendal A. S. Ustunel PARTICIPANTS TO THE 6TH WORKSHOP ON STOCHASTIC ANALYSIS Vestlia Hcentsyfjellshotell, Geilo, Norway, July 28 -August 4, 1996. E-mail: abc@gfm.cii.fc.ui.pt Aureli ALABERT Departament de Matematiques Laurent DECREUSEFOND Universitat Autonoma de Barcelona Ecole Nationale Superieure des Telecom 08193-Bellaterra munications CATALONIA (Spain) Departement Reseaux E-mail: alabert@mat.uab.es 46, rue Barrault Halvard ARNTZEN 75634 Paris Cedex 13 Dept. of Mathematics FRANCE University of Oslo E-mail: decreuse@res.enst.fr Box 1053 Blindern Laurent DENIS N-0316 Oslo C. M. I."

Contributor Bio:  Gjerde, Jon Jon Gjerde died in October 2008. He was Alexander F. and May T. Morrison professor of history at the University of California, Berkeley, and received his Ph. D. from the University of Minnesota in 1982. His areas of expertise included nineteenth-century America with particular reference to immigration and religion, and he published some thirty articles on these subjects. He also published FROM PEASANTS TO FARMERS: THE MIGRATION FROM BALESTRAND, NORWAY, TO THE UPPER MIDDLE WEST (1985) and THE MINDS OF THE WEST: THE ETHNOCULTURAL EVOLUTION OF THE RURAL MIDDLE WEST, 1830-1917 (1997), both of which won the Theodore Saloutos Memorial Book Award of the Immigration History Society for the best book in agricultural history. Contributor Bio:  Oksendal, Bernt

Bernt Oksendal is a proven Springer author. His book, Stochastic Differential Equations: An Introduction with Applications, has sold over 10,000 copies and has been translated into Japanese and Chinese.