Besides a number of papers on classical areas of research in probability such as martingale theory, Malliavin calculus and 2-parameter processes, this new volume of the S?minaire de Probabilit?s develops the following themes: - chaos representation for some new kinds of martingales, - quantum probability, - branching aspects on Brownian excursions, - Brownian motion on a set of rays.Besides a number of papers on classical areas of research in probability such as martingale theory, Malliavin calculus and 2-parameter processes, this new volume of the S?minaire de Probabilit?s develops the following themes: - chaos representation for some new kinds of martingales, - quantum probability, - branching aspects on Brownian excursions, - Brownian motion on a set of rays.Sur l'interpolation complexe des semigroupes de diffusion.- Les D?rivations Analytiques.- A remark on the class of martingales with bounded quadratic variation.- The best estimation of a ratio inequality for continuous martingales.- A note on the good lambda inequalities.- On the Az?ma martingales.- Etude d'une martingale remarquable.- La propriete de representation previsible dans la filtration naturelle d'un ensemble regeneratif.- Equations de structure des martingales et probabilit?s quantiques.- Construction de solutions d'equations de structure.- Un cas de representation chaotique discrete.- Martingales sur le cercle.- Sur le developpement d'une diffusion en chaos de wiener.- Une remarque sur le d?veloppement en chaos d'une diffusion.- Some comments on quantum probability.- El?ments de probabilit?s quantiques. X.- El?ments de probabilit?s quantiques XI.- Multiple points of Markov processes in a complete metric space.- Comportement asymptotique de certaines fonctionnelles additives de plusieurs mouvements browniens.- Simultaneous boundary hitting for a two point reflecting Brownian motion.- Renewal property of the extrema and tree property of the excursion of a one-dimensional brownian motion.- The branlÅ