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Topological dynamics of transformations induced on the space of probability measures

✍ Scribed by Walter Bauer; Karl Sigmund


Publisher
Springer Vienna
Year
1975
Tongue
English
Weight
651 KB
Volume
79
Category
Article
ISSN
0026-9255

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A note on the Poisson structures of the
✍ Yuichi Shishido πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 107 KB πŸ‘ 1 views

## 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