Séminaire de Probabilités commun ICJ/UMPA

Directed polymers and the Stochastic Heat Equation with Lévy noise

Name: Directed polymers and the Stochastic Heat Equation with Lévy noise
Start: 2022-04-14T14:00:00+02:00
End: 2022-04-14T15:00:00+02:00
Location: ICJ - bâtiment Braconnier

par Quentin Berger

jeudi 14 avr. 2022, 14:00 → 15:00 Europe/Paris

Fokko du Cloux (ICJ - bâtiment Braconnier)

Fokko du Cloux

ICJ - bâtiment Braconnier

Description

I will introduce the directed polymer model in dimension 1+d, which describes a one-dimensional polymer chain placed in some disordered medium. I will give an overview of the model and I will discuss its relation to the stochastic heat equation (SHE) with multiplicative noise. This has been widely studied in the case where the disorder admits a second moment ; it corresponds to the SHE with Gaussian white noise.
I will then present the results obtained in collaboration with Carsten Chong (Columbia, USA) and Hubert Lacoin (IMPA, Brazil) on directed polymers and the SHE with Lévy noise.