Gerard Misiolek

Information Geometry on diffeomorphism groups

I will describe an infinite-dimensional analogue of the Fisher-Rao metric on the quotient space of the group of diffeomorphisms of a compact Riemannian manifold by the subgroup of volume-preserving diffeomorphisms. Time permitting I will also describe Amari-Chentsov connections and the associated nonlinear PDE.

Event sponsored by:
		University of Bialystok