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

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Large Deviations via Parameter Dependent Change of Measure, and an Application to the Lower Tail of A refinement of the technique of measure tilting in large deviations is presented. This refinement allows for the handling of situations which are not covered by standard fixed exponential tilting. An application to the study of the law of Brownian motion conditioned on staying in a small .. ball follows.

Coordinate

Stochastic Representation of Unitary Quantum EvolutionWe show that unitary Schrödinger evolution can be expressed by a diffusion process. Quantum mechanics is realized as stochastic mechanics on an (extended) complex configuration space. Such a formulation of quantum mechanics may be considered as a rigorous version of the Feynman path integral. We discuss several explicitly soluble models.

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Density Estimates for Stochastic Partial Differential EquationsA survey is given on the density estimates for the law density of the solution to a stochastic PDE at a fixed point. A new result is constituted by the Davies type estimates for the stochastic wave equation.

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Applications and Foundations of Quasi Sure AnalysisA short overview is given on foundations and applications of quasi sure analysis

neologism

A Duality Formula on the Poisson Space and Some ApplicationsWe establish a duality formula for the chaotic derivative operator on the canonical Poisson space. The adjoint of this operator is proved to coincide with the stochastic integration on predictable processes.

CRAFT

Recent Progress in the Hypercontractive SemigroupsRecent progress in the studying of the ergodicity problem of Markov semigroups on infinite dimensional spaces based on use of the hypercontractivity property is presented.

Misnomer

Progress in Probabilityhttp://image.papertrans.cn/s/image/864963.jpg