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Titlebook: Seminaire de Probabilites XXXV; J. Azéma,M. Émery,M. Yor Book 2001 Springer-Verlag Berlin Heidelberg 2001 Brownian motions.Measure.Probabi

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,Correction à un Article d’Attal et Émery sur les Martingales d’Azéma Bidimendionnelles,Abstract not available
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Hermite Martingales,Abstract not available
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A Martingale Proof of the Theorem by Jessen, Marcinkiewicz and Zygmund on Strong Differentiation ofWe give a martingale proof of the theorem by Jessen, Marcinkiewicz and Zygmund on almost everywhere strong differentiability of functions on . belonging to .. The proof is based on Cairoli’s theorem on convergence of multi-indexed martingales.
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Logarithmic Sobolev Inequalities for Unbounded Spin Systems Revisited,We analyze recent proofs of decay of correlations and logarithmic Sobolev inequalities for unbounded spin systems in the perturbative regime developed by B. Zegarlinski, N. Yoshida, B. Helffer, Th. Bodineau. We investigate to this task a simple analytic model. Proofs are short and self-contained.
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On the martingale problem for super-Brownian motion,The law of super-Brownian motion can be characterized as the solution to a certain martingale problem. We give a new proof of this fact that uses only basic stochastic calculus and some simple facts about weak convergences.
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