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Stochastic Plots and Universal Cover of the Loop Space

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Abstract

We perform a theory of integration of a 1-form over the loop space, which is almost surely defined, by using a stochastic diffeology over the loop space.

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  1. Institut Elie Cartan, Département de Mathématiques, Université Henri Poincaré, 54000, Vandoeuvre-les-Nancy, France

    Rémi Léandre

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  1. Rémi Léandre
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Léandre, R. Stochastic Plots and Universal Cover of the Loop Space. Potential Analysis 15, 69–75 (2001). https://doi.org/10.1023/A:1011226116835

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