Objetivo The project has coordinated work in Europe in key areas including stochastic differential geometry, stochastic partial differential equations, Malliavin calculus, harmonic analysis and the properties of Brownian Motion. Meetings were organized in Warwick and Paris, and many insits by international experts to individual institutes were arranged.The project employed a computing officer, who developed practical second order algorithms for numerically integrated strong solutions to stochastic differential equations. These have been successfully implemented. Work also proceeded on the numerical integration of stochastic partial differential equations.The coordination of effort will be directed to the following goals. 1. Study of analysis in infinite dimensions especially Dirichlet processes and their geometry (e.g. the Ornstein-Uhlenbeck process and those connected with Quantum Fields). In particular, study of the associated potential theory, Martin boundary and random fields. The study of gauge fields and string models. The study of stochastic differential geometric structures in connection with index theory, on loop spaces for example. 2. Study of Dirichlet forms in finite dimensional spaces. In particular we mention the relation with singular Schroedinger operators, the study of hypoelliptic differential operators and associated processes, he asymptotics of the heat kernel on manifolds and Lie groups. The study of the stochastic calculus associated with Dirichlet spaces. 3. Study of detailed properties of Brownian motion, e.g. self-avoiding random walks, polymer models and quantum fields. Behaviour of Brownian motion on manifolds in relation with geometric properties, for example the Martin boundary. Ámbito científico natural scienceschemical sciencespolymer sciencesnatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations Programa(s) FP2-SCIENCE - Programme plan (EEC) to stimulate the international cooperation and interchange needed by European research scientists (SCIENCE), 1988-1992 Tema(s) Data not available Convocatoria de propuestas Data not available Régimen de financiación CSC - Cost-sharing contracts Coordinador University of Edinburgh Aportación de la UE Sin datos Dirección Old College South Bridge EH1 1HN Edinburgh Reino Unido Ver en el mapa Coste total Sin datos Participantes (5) Ordenar alfabéticamente Ordenar por aportación de la UE Ampliar todo Contraer todo RUHR-UNIVERSITY BOCHUM Alemania Aportación de la UE Sin datos Dirección Universitaetsstrasse 150 44780 BOCHUM Ver en el mapa Coste total Sin datos UNIVERSITE DE PARIS-SUD XI Francia Aportación de la UE Sin datos Dirección RUE GEORGES CLEMENCEAU 15 91405 ORSAY Ver en el mapa Coste total Sin datos UNIVERSITE PIERRE ET MARIE CURIE - PARIS VI Francia Aportación de la UE Sin datos Dirección Place Jussieu 4 75252 PARIS Ver en el mapa Coste total Sin datos UNIVERSITY OF BIELEFELD Alemania Aportación de la UE Sin datos Dirección Universitätsstraße 25 33501 BIELEFELD Ver en el mapa Coste total Sin datos University of Warwick Reino Unido Aportación de la UE Sin datos Dirección Gibbet Hill Road CV4 7AL Coventry Ver en el mapa Coste total Sin datos