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Workshop

Statistical manifolds admitting torsion and geometry of affine distributions

  • Hiroshi Matsuzoe (Nagoya Institute of Technology, Nagoya, Japan)
University n.n. Universität Leipzig (Leipzig)

Abstract

A statistical manifold is a differential geometric structure that is induced naturally from geometry of probability distributions. A statistical manifold admitting torsion is a quantum version of the notion of statistical manifolds. In this talk, we discuss geometry of statistical manifolds admitting torsion. We also discuss relations between geometry of statistical manifolds admitting torsion and geometry of affine distributions.

conference
8/2/10 8/6/10

Information Geometry and its Applications III

Universität Leipzig (Leipzig) University n.n. University n.n.

Antje Vandenberg

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Nihat Ay

Max Planck Institute for Mathematics in the Sciences, Germany

Paolo Gibilisco

Università degli Studi di Roma "Tor Vergata", Italy

František Matúš

Academy of Sciences of the Czech Republic, Czech Republic