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Titlebook: Stochastic Analysis: A Series of Lectures; Centre Interfacultai Robert C. Dalang,Marco Dozzi,Francesco Russo Conference proceedings 2015 Sp

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An Introduction to Infinite-dimensional Oscillatory and Probabilistic Integrals,te-dimensional theory that these integrals have common aspects but also strong differences. We present an introduction to certain common aspects of these integration theories and mention some applications.
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Stochastic Porous Media Equations,astic porous media equations with linearly multiplicative Gaussian noise. Some of these results are given without proof, or with a sketch of proof only. In Section 1, we present a few basic results on existence of solutions and some models described by deterministic porous media equations. Section 2
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,A Stochastic View over the Open Problem of Well-posedness for the 3D Navier–Stokes Equations,ttempting to understand whether noise may improve the well-posedness. Results and obstructions of the deterministic theory are first recalled. Then the difficulties met to prove weak well-posedness by additive noise are discussed, in relation with Girsanov transform and Kolmogorov equations. Finally
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,A Short Course on Weak Approximations for Lévy Driven SDE’s,astic differential equations (sde’s) with jumps..We start discussing a basic proof of the central limit theorem where one can see the essential elements of the proofs. Then we will go on to describe three different ways of proving weak approximation results for solutions of sde’s. The first uses the
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