Information geometry of Busemann-barycenter for probability measures

DOI10.1142/S0129167X15410074zbMath1321.53040OpenAlexW2130926661MaRDI QIDQ5265250

Hiroyasu Satoh, Mitsuhiro Itoh

Publication date: 23 July 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x15410074

zbMATH Keywords

Busemann functionbarycenterFisher information metricBusemann-Poisson kernel

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Rigidity results (53C24) Spaces of measures, convergence of measures (28A33) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Information geometry of the space of probability measures and barycenter maps

Cites Work

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• Information Geometry of Covariance Matrix: Cartan-Siegel Homogeneous Bounded Domains, Mostow/Berger Fibration and Fréchet Median

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