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A note on the Poisson structures of the space of probability measures

✍ Scribed by Yuichi Shishido

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
107 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The space of probability measures on a Riemannian manifold is endowed with the Fisher information metric. In [4] T. Friedrich showed that this space admits also Poisson structures {, }. In this note, we give directly another proof for the structure {, } being Poisson. (Β© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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