Objective
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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences chemical sciences polymer sciences
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
EH1 1HN Edinburgh
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.