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- W2616698889 abstract "We introduce a class of flows on the Wasserstein space of probability measures with finite first moment on the Cartan–Hadamard Riemannian manifold of positive definite matrices, and consider the problem of differentiability of the corresponding Cartan barycentric trajectory. As a consequence we have a version of Lie–Trotter formula and a related unitarily invariant norm inequality. Furthermore, a fixed point theorem related to the Karcher equation and the Cartan barycentric trajectory is also presented as an application." @default.
- W2616698889 created "2017-05-26" @default.
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- W2616698889 date "2017-11-01" @default.
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- W2616698889 title "Geometric mean flows and the Cartan barycenter on the Wasserstein space over positive definite matrices" @default.
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- W2616698889 doi "https://doi.org/10.1016/j.laa.2017.07.017" @default.
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