********************************************************************* SEMINARI DI PROBABILITÀ E STATISTICA MATEMATICA DIPARTIMENTO DI MATEMATICA "G. PEANO" UNIVERSITÀ DEGLI STUDI DI TORINO *********************************************************************

Giovedì 5 Dicembre 2019 alle ore 14:00 nell'aula Magna del Dipartimento di Matematica "G. Peano" dell'Università degli Studi di Torino, Via Carlo Alberto 10,

Il Prof. *Pierre Patie* (Cornell University, Ithaca, NY, USA)

terrà un seminario dal titolo

*Completely monotone intertwining relations*

Abstract:

In this talk, we introduce the concept of completely monotone intertwining relations as a strengthening of usual intertwining relations between Markov semi-groups. We proceed by providing some interesting applications of this new idea which includes the characterization of ergodic constants and hypercontractivity estimates for non-self-adjoint semigroups. We illustrate these results by presenting several examples that have emerged from the recent literature: discrete-to-continuous interacting particle models, degenerate hypoelliptic Ornstein-Uhlenbeck processes, and diffusion-to-jump Jacobi processes. This talk is based on a joint a work with L. Miclo (IMT Toulouse).

Tutti gli interessati sono invitati a partecipare.