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H 1 A microlocal approach to renormalization in stochastic PDEs

Auteurs : Zambotti, Lorenzo (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We present a novel framework for the study of a large class of non-linear stochastic PDEs, which is inspired by the algebraic approach to quantum field theory. The main merit is that, by realizing random fields within a suitable algebra of functional-valued distributions, we are able to use techniques proper of microlocal analysis which allow us to discuss renormalization and its associated freedom without resorting to any regularization scheme and to the subtraction of infinities. As an example of the effectiveness of the approach we apply it to the perturbative analysis of the stochastic $\Phi _{d}^{3}$ model.

    Keywords : stochastic PDEs; algebraic quantum field theory, renormalization

    Codes MSC :
    81T05 - "Axiomatic quantum field theory; operator algebras"
    60H17 - Singular stochastic partial differential equations

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 26/03/2021
      Date de captation : 11/03/2021
      Sous collection : Research talks
      arXiv category : Mathematical Physics
      Domaine : Mathematical Physics ; Probability & Statistics
      Durée : 00:45:49
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2021-03-11_Zambotti.mp4

    Informations sur la Rencontre Virtuelle

    Nom de la rencontre : Pathwise Stochastic Analysis and Applications / Analyse stochastique trajectorielle et applications
    Organisateurs de la rencontre : Coutin, Laure ; Gassiat, Paul ; Lejay, Antoine ; Marie, Nicolas ; Tindel, Samy
    Dates : 08/03/2021 - 12/03/2021
    Année de la rencontre : 2021
    URL Congrès : https://conferences.cirm-math.fr/2322.html

    Citation Data

    DOI : 10.24350/CIRM.V.19729103
    Cite this video as: Zambotti, Lorenzo (2021). A microlocal approach to renormalization in stochastic PDEs.CIRM . Audiovisual resource. doi:10.24350/CIRM.V.19729103
    URI : http://dx.doi.org/10.24350/CIRM.V.19729103

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