Dear Colleagues, We would like to invite you to the following seminar that will take place on December 2nd at 11.00 in Padova. The seminar will be held in person and online via the Zoom platform. _____________________________________________________ Speaker: Giacomo Greco (Eindhoven University of Technology) Title: Entropic turnpike estimates for the kinetic Schrödinger problem Date and time: Friday, DECEMBER 2nd at 11.00 Place: room 2BC30 at the Department of Mathematics, University of Padova Zoom link: https://unipd.zoom.us/j/86210155315 available also on the webpage https://www.math.unipd.it/~bianchi/seminari/ Abstract: The kinetic Schrödinger problem consists in finding the most likely evolution of a system of i.i.d. particles driven by the underdamped Langevin dynamics, conditionally on their initial and final spatial configurations. In this model each particle is described both by its position and velocity, but there is no a priori knowledge of the velocities at the initial and final time. We will investigate the long-time behaviour of this kinetic system, proving that its most likely evolution is exactly the one that spends most of the time exponentially close to the equilibrium configuration (this property is commonly known in stochastic control theory as the turnpike property). This short talk is based on a joint work with A. Chiarini, G. Conforti, Z. Ren. With best regards, Alberto Chiarini Department of Mathematics Tullio Levi-Civita Via Trieste 63 35121 Padova Italy