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Journal Articles Comptes rendus de l'Académie des sciences. Série I, Mathématique Year : 2006

Approche intrinsèque des fluctuations browniennes en mécanique stochastique

Abstract

This Note is answering an old questioning about the Fényes-Nelson stochastic mechanics. Feynman's interpretation of the Heisenberg uncertainty principle allows to deduce the Brownian fluctuations, which are associated to this mechanics, from an infinitesimal time-discretisation stemming from non-standard analysis. It is therefore no more necessary to combine those fluctuations with a background field, which has never been well understood. Let us add that an extended english abstract is giving most of the details.
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Dates and versions

inria-00081461 , version 1 (26-06-2006)

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  • HAL Id : inria-00081461 , version 1

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Michel Fliess. Approche intrinsèque des fluctuations browniennes en mécanique stochastique. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2006. ⟨inria-00081461⟩
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