Speaker
Pierre Martinetti
Description
Connes's spectral distance is an extended metric on the state space of a C*-algebra, generalizing Kantorovich's dual formula of the Wasserstein distance of order 1 from optimal transport. It is expressed as a supremum. We present a dua formula - as an infimum - generalizing Beckmann's ``dual of the dual'' formulation of the Wasserstein distance.
