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Titlebook: Séminaire de Probabilités XL; Catherine Donati-Martin,Michel Émery,Christophe St Book 2007 Springer-Verlag Berlin Heidelberg 2007 Maxima.S

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More Hypercontractive Bounds for Deformed Orthogonal Polynomial EnsemblesWe illustrate one further use of hypercontractivity to non-asymptotic small deviation inequalities on the largest eigenvalue of non-null Wishart matrices and deformed orthogonal polynomial ensembles.
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No Multiple Collisions for Mutually Repelling Brownian ParticlesAlthough Brownian particles with small mutual electrostatic repulsion may collide, multiple collisions at positive time are always forbidden.
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Catherine Donati-Martin,Michel Émery,Christophe StIncludes supplementary material:
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An Introduction to (Stochastic) Calculus with Respect to Fractional Brownian Motione, is the Young integral and its extension given by rough path theory; the second one is the extended Stratonovich integral introduced by Russo and Vallois; the third one is the divergence operator. For each type of integral, a change of variable formula or Ito formula is proved. Some existence and
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Local Time-Space Calculus for Reversible Semimartingalesl Ito formula requiring only the existence of locally bounded first-order derivatives. We extend this construction to reversible semimartingales and show the part that it can play for extended Ito formulas. MSC 2000: 60G44, 60H05, 60J55, 60J65 Key words: Reversible Semimartingale, Stochastic calculu
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