Titlebook: Seminar on Stochastic Analysis, Random Fields and Applications; Centro Stefano Frans Erwin Bolthausen,Marco Dozzi,Francesco Russo Conferenc

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On the Geometry Defined by Dirichlet Forms that this is actually a complete metric (compatible with the original topology), we prove that (., .) is a geodesic space. That is, any two points in . are joined by a minimal geodesic..Also analogues of the Hopf-Rinow Theorem and of the Cartan-Hadamard Theorem are obtained. The latter requires the

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Random Brownian Scaling and Some Absolute Continuity Relationships times with . < ., almost surely. One finds, in the literature, a number of examples of such random couples (. such that the law of the process . which is the transform of . by . on the interval [.], is absolutely continuous with respect to the law of (.., . ≤ 1), or the law of another interesting p

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Diffusion-Approximation for the Advection-Diffusion of a Passive Scalar by a Space-Time Gaussian Velential equation. We derive the effective diffusion coefficient from this result. This work is a generalization of previous works by Bouc-Pardoux [3] and Kushner-Huang [8] where the velocity field is of the form . for some finite-dimensional ergodic noise process .. Our situation is an example of infinite-dimensional noise.

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