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Can I read Fisher information metric and Poisson kernels on EtoBox?
Fisher information metric and Poisson kernels by Mitsuhiro Itoh; Yuichi Shishido is a Mathematics article available to read on EtoBox.
What is Fisher information metric and Poisson kernels about?
A complete Riemannian manifold X with negative curvature satisfying -b 2 K X -a 2 < 0 for some constants a, b, is naturally mapped in the space of probability measures on the ideal boundary ∂X by assigning the Poisson kernels. We show that this map is embedding and the pull-back metric of the Fisher information metric by this embedding coincides with the original metric of X up to constant provided X is a rank one symmetric space of non-compact type. Furthermore, we give a geometric meaning of the embedding.
Who reads Fisher information metric and Poisson kernels?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Mitsuhiro Itoh; Yuichi Shishido
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0926-2245)
- Published
- 2008
- Language
- EN
- Field
- Mathematics (Physical Sciences)