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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.
