New challenges in reciprocal processes, Schrödinger bridges and optimal transport with applications to control engineering problems for classical and quantum systems

Program.

09:30 - 10:20 Sylvie Rœlly. A stochastic analysis approach for the characterization of reciprocal classes:  the case of Brownian diffusions and of compound Poisson processes

10:25 - 11:15 Tryphon T. Georgiou, The Hilbert metric and Schrödinger bridges

11:20 - 11:50 Coffee break

11:50 - 12:40 Giovanni Conforti. Reciprocal characteristics, lattices, and concentration of measure

12:45 - 14:15 Lunch


14:15 - 15:05 Christian Léonard. Looking at the Schrödinger problem with calculus of variations in mind

15:10 - 16:00 Yongxin Chen, Schrödinger bridges and the steering of stochastic and deterministic systems

16:05 - 16:30 Coffee break

16:30 - 17:20 Markus Fischer. On large deviations for the empirical measures of weakly interacting systems

17:25 - 18:15 Francesco Ticozzi. A walk to symmetrization via a Schrödinger bridge