Mona ben said
Biography
Short Bio:
I hold a Ph.D. in Mathematics from the University Paris 13 (2019) and currently serve as a Lecturer at the Faculty of Sciences of Monastir in Tunisia. My research interests cover a diverse range, including Spectral Theory, Classical Statistical Mechanics, Semi-classical Analysis, Stochastic Differential Equations, and Nonlinear Partial Differential Equations.
Title: Compactness of the Resolvent for Degenerate Kramers-Fokker-Planck Operators.
Abstract: In this talk, I will discuss recent contributions to the spectral theory of Kramers-Fokker-Planck operators with a degenerate potential, in that I will present sufficient conditions for the compactness of the resolvent, a fundamental problem related to the Helffer-Nier conjecture, which links the compactness of the resolvent of the Kramers-Fokker-Planck operator with that of the associated Witten Laplacian on zero-forms.
