Ziel
This project brings together groups and individuals working in stochastic analysis and applications in the NIS with a network already operating in the EC with EC support. Co-operation will include research in stochastic partial and ordinary differential equations, especially asymptotic problems and large deviations given small parameters, invariant measures and qualitative properties of stochastic partial differential equations (PDE), in particular the study of non-linear-stochastic PDE as dynamical systems, boundary problems in stochastic PDE, and stochastic approaches to deterministic PDE.
Among other related topics in infinite-dimensional analysis are stochastic dynamics and stochastic quantization in classical and quantum lattice models, analytic properties of log-concave measures and ergodicity properties of the corresponding diffusions, invariant measures for infinite-dimensional diffusions on manifolds, connections with the general theory of Gibbs measures, non-Gaussian analysis and generalised function theory in infinite dimensions, the study of differential and pseudo-differential operators, especially-Dirac operators, and oscillatory integrals on infinite-dimensional manifolds, and hypoellipticity properties.
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CV4 7AL COVENTRY
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