HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download

Contributor : Michel Fliess Connect in order to contact the contributor
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


 Restricted access
To satisfy the distribution rights of the publisher, the document is embargoed until : jamais

Please log in to resquest access to the document


  • HAL Id : inria-00081461, version 1



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



Record views