Covariant Young's integration

schedule le lundi 19 octobre 2020 de 17h00 à 18h00

Organisé par : E. Bodiot, L. Broux, T. Randrianarisoa, G. Buritica, Y. Tardy

Intervenant : Isao Sauzedde (LPSM)
Lieu : Jussieu Salle Paul Lévy 16-26 209

Sujet : Covariant Young's integration

Résumé :

We will present a new point of view on the Young's integral which uses no approximation of the path. It will give us a slight extension of it, with the additional property of being stable by smooth deformations of the plane.  We will then go from Young to stochastic integration,  and finally define the integral of some irregular random 1-forms along Brownian motion. The main role will be played by the winding of curves around points.

heat map for the winding function of a Brownian motion