Abstract for the talk on 10.05.2017 (14:00 h)Information Geometry Seminar
Domenico Felice (University of Camerino, Italy)
Hamilton-Jacobi approach to Potential Functions in Information Geometry
The search for a potential function S allowing to reconstruct a given metric tensor g and a given symmetric covariant tensor T on a manifold M is formulated as the Hamilton-Jacobi problem associated with a canonically deﬁned Lagrangian on TM. The connection between this problem, the geometric structure of the space of pure states of quantum mechanics, and the theory of contrast functions of classical information geometry is outlined.