Overview: This volume represents a part of the main result obtained bya group of French probabilists, together with thecontributions of a number of colleagues, mainly from the USAand Japan.All the papers present new results obtained during theacademic year 1991-1992. The main themes of the papers are:quantum probability (P.A. Meyer and S. Attal),stochasticcalculus (M. Nagasawa, J.B. Walsh, F. Knight, to name afewauthors), fine properties of Brownian motion (Bertoin,Burdzy,Mountford), stochastic differential geometry(Arnaudon, Elworthy),quasi-sure analysis (Lescot, Song,Hirsch).Taken all togeth
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