This is a new volume of the Seminaire de Probabilites which is now
in its 43rd year. Following the tradition, this volume contains
about 20 original research and survey articles on topics related to
stochastic analysis. It contains an advanced course of J. Picard on
the representation formulae for fractional Brownian motion. The
regular chapters cover a wide range of themes, such as stochastic
calculus and stochastic differential equations, stochastic
differential geometry, filtrations, analysis on Wiener space,
random matrices and free probability, as well as mathematical
finance. Some of the contributions were presented at the Journees
de Probabilites held in Poitiers in June 2009.
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