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Approche intrinsèque des fluctuations browniennes en mécanique stochastique

Michel Fliess 1, 2
2 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
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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Submitted on : Monday, June 26, 2006 - 10:03:40 PM
Last modification on : Friday, February 4, 2022 - 3:16:46 AM
Long-term archiving on: : Friday, November 25, 2016 - 11:14:45 AM

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

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