

Information Geometry and its Applications III
Abstract Hiroshi Matsuzoe
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Hiroshi Matsuzoe (Nagoya Institute of Technology, Japan)
Thursday, August 05, 2010, room Hörsaal 2
Statistical manifolds admitting torsion and geometry of affine distributions
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.
Date and Location
August 02 - 06, 2010
University of Leipzig
Augustusplatz
04103 Leipzig
Germany
Scientific Organizers
Nihat AyMax Planck Institute for Mathematics in the Sciences
Information Theory of Cognitive Systems Group
Germany
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Paolo Gibilisco
Università degli Studi di Roma "Tor Vergata"
Facoltà di Economia
Italy
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František Matúš
Academy of Sciences of the Czech Republic
Institute of Information Theory and Automation
Czech Republic
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Scientific Committee
Shun-ichi Amari
RIKEN
Brain Science Institute, Mathematical Neuroscience Laboratory
Japan
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Imre Csiszár
Hungarian Academy of Sciences
Alfréd Rényi Institute of Mathematics
Hungary
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Dénes Petz
Budapest University of Technology and Economics
Department for Mathematical Analysis
Hungary
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Giovanni Pistone
Collegio Carlo Alberto, Moncalieri
Italy
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Administrative Contact
Antje Vandenberg
Max Planck Institute for Mathematics in the Sciences
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Phone: (++49)-(0)341-9959-552
Fax: (++49)-(0)341-9959-555