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April 2024

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Séminaire des Doctorants et Doctorantes - Institut Camille Jordan - ICJ - Villeurbanne - Sud-Est - Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est

Institut Camille Jordan - ICJ - Villeurbanne - Sud-Est Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est

Large deviations for a stochastic hybrid process


Start: Jan. 17, 2022, 10:30 a.m.
End: Jan. 17, 2022, 12:30 p.m.

Speaker: Ventre, Elias (LBMC - ENS Lyon)
Title: Large deviations for a stochastic hybrid process
Abstract: <p>The Large deviations theory for stochastic processes has been mainly developed by Freidlin and Wentzell for Stochastic Differential Equations. I will give some insight about the tools that are used in this theory, in particular its analogy with Hamiltonian mechanics. I will then present a formal method for building the rate function of the Large deviations principle for a stochastic hybrid process used in cell biology for modeling gene expression dynamics, and how it can be used.</p>
Loc. ICJ
Cat. Séminaires

ref: Séminaire des Doctorants et Doctorantes - Institut Camille Jordan - ICJ - Villeurbanne - Sud-Est - Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est