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.