Seminaire de Probabilites XXVII

This volume represents a part of the main result obtained by§a group of French probabilists, together with the§contributions of a number of colleagues, mainly from the USA§and Japan.§All the papers present new results obtained during the§academic year 1991-1992. The main themes of the papers are:§quantum probability (P.A. Meyer and S. Attal), stochastic§calculus (M. Nagasawa, J.B. Walsh, F. Knight, to name a few§authors), fine properties of Brownian motion (Bertoin,§Burdzy, Mountford), stochastic differential geometry§(Arnaudon, Elworthy), quasi-sure analysis (Lescot, Song,§Hirsch).§Taken all together, the papers contained in this volume§reflect the main directions of the most up-to-date research§in probability theory.§FROM THE CONTENTS: J.P. Ansal, C. Stricker: Unicite et§existence de la loi minimale.- K. Kawazu, H. Tanaka: On the§maximum of a diffusion process in a drifted Brownian§environment.- P.A. Meyer: Representation de martingales§d'operateurs, d'apres Parthasarathy-Sinha.- K. Burdzy:§Excursion laws and exceptional points on Brownian paths.- X.§Fernique: Convergence en loi de variables aleatoires et de§fonctions aleatoires, proprietes de compacite des lois, II.-§M. Nagasawa: Principle ofsuperposition and interference of§diffusion processes.- F. Knight: Some remarks on mutual§windings.- S. Song: Inegalites relatives aux processus§d'Ornstein-Ulhenbeck a n-parametres et capacite gaussienne§c (n,2).- S. Attal, P.A. Meyer: Interpretation probabiliste§et extension des integrales stochastiques non commutatives.-§J. Azema, Th. Jeulin, F. Knight,M. Yor: Le theoreme d'arret§en une fin d'ensemble previsible.