Stochastic Calculus and Anticommuting Variables

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A theory of integration for anticommuting paths is described. This is combined with standard Itô calculus to give a geometric theory of Brownian paths on curved supermanifolds. (Invited lecture given at meeting on `Espaces de Lacets', Institut de Recherche Mathématique Advancée, Université Louis Pasteur, Strasbourg, June 1994.)
11pp, kcl-th-94-16

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