PIMS - AMI Seminar: Luca Nenna

In this talk I will firstly review standard Multimarginal Optimal Transport ( a fixed number N of marginals is fixed) focusing, in particular, on the applications in Quantum Mechanics (in this case the marginals are all the same and represent the electrons of a an atom or a molecule). I will then extend the Optimal Transportation problem to the grand canonical setting: only an average number of marginals is now given (i.e. we can now define a OT problem with a fractional number of marginals). I will compare these two problems and show how they behave differently despite considering the same cost functions. Some numerical results will be finally presented. This is a joint work with S. Di Marino and M. Lewin.