|XXXVI Workshop on Geometric Methods in Physics||2-8.07.2017|
|VI School on Geometry and Physics||26-30.06.2017|
Participants of Workshop
Participants of School
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.
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