Objectif 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. Champ scientifique natural scienceschemical sciencespolymer sciencesnatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations Programme(s) FP2-SCIENCE - Programme plan (EEC) to stimulate the international cooperation and interchange needed by European research scientists (SCIENCE), 1988-1992 Thème(s) Data not available Appel à propositions Data not available Régime de financement CSC - Cost-sharing contracts Coordinateur University of Edinburgh Contribution de l’UE Aucune donnée Adresse Old College South Bridge EH1 1HN Edinburgh Royaume-Uni Voir sur la carte Coût total Aucune donnée Participants (5) Trier par ordre alphabétique Trier par contribution de l’UE Tout développer Tout réduire RUHR-UNIVERSITY BOCHUM Allemagne Contribution de l’UE Aucune donnée Adresse Universitaetsstrasse 150 44780 BOCHUM Voir sur la carte Coût total Aucune donnée UNIVERSITE DE PARIS-SUD XI France Contribution de l’UE Aucune donnée Adresse RUE GEORGES CLEMENCEAU 15 91405 ORSAY Voir sur la carte Coût total Aucune donnée UNIVERSITE PIERRE ET MARIE CURIE - PARIS VI France Contribution de l’UE Aucune donnée Adresse Place Jussieu 4 75252 PARIS Voir sur la carte Coût total Aucune donnée UNIVERSITY OF BIELEFELD Allemagne Contribution de l’UE Aucune donnée Adresse Universitätsstraße 25 33501 BIELEFELD Voir sur la carte Coût total Aucune donnée University of Warwick Royaume-Uni Contribution de l’UE Aucune donnée Adresse Gibbet Hill Road CV4 7AL Coventry Voir sur la carte Coût total Aucune donnée