The different papers contained in this volume are all research papers. The main directions of research which are being developed are: quantum probability, semimartingales and stochastic calculus.
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A note on large deviations for wiener chaos.- A probabilistic approach to the boundedness of singular integral operators.- Predictable sets and set-valued processes.- Sur le lemme de mesurabilité de Doob.- Théorie des Processus de Production.- Modèles simples de la théorie du poteniel non linéaire.- Une representation gaussienne de l'indice d'un operateur.- On semi-martingales associated with crossings.- Sur une horloge fluctuante pour les processus de Bessel de petites dimensions.- A zero-one law for integral functionals of the bessel process.- Anticipative calculus for the poisson process based on the fock space.- Un traitement unifie de la representation des fonctionnelles de Wiener.- On convergence of semimartingales.- On pathwise uniqueness and expansion of filtrations.- Derivation par rapport au processus de bessel.- Filtration des ponts browniens et equations differentielles stochastiques lineaires.- Quelques remarques sur un theoreme de yan.- Sur la persistance du processus de Dawson-Watanabe stable. L'interversion de la limite en temps et de la renormalisation.- Convergence des surmatingales — Application aux vraisemblances partielles.- Sur les lois a symetrie elliptique.- Marches de Bernoulli quantiques.- A generalised biane process.- Illustration of the quantum central limit theorem by independent addition of spins.- The markov process of total spins.- Markov chains as evans-hudson diffusions in fock space.- Diffusions quantiques I: Exemples élémentaires.- Diffusions quantiques II. Exemples élémentaires (suite) représentations chaotiques en temps continu.- Diffusions quantiques III: Théorie générale.- Formule de composition pour une classe d'opérateurs.- Application du calcul symbolique au calcul de la loi de certains processus.- On two transfer principles in stochastic differential geometry.- Sur les martingales d'Azéma (suite).- Sur une formule de Bismut.- Calculs formels sur les e.d.s. de Stratonovitch.- Positivité sur l'espace de Fock.- The excessive domination principle is equivalent to the weak sector condition.- Une représentation des sousmartingales positives et ses applications.- Temps local du producit et du sup de deux semimartingales.- On a conjecture of F.B. knight two characterization results related to prediction processes.- Une remarque sur les lois echangeables.- Quelques corrections et améliorations à mon article “Le Semi-groupe d'une diffusion en liaison avec les trajectoires” paru dans le Séminaire de Probabilités de 1988.
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