Generalized Hunter-Saxton equations, optimal information transport, and factorization of diffeomorphisms (Q2347951)
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| Language | Label | Description | Also known as |
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| English | Generalized Hunter-Saxton equations, optimal information transport, and factorization of diffeomorphisms |
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Generalized Hunter-Saxton equations, optimal information transport, and factorization of diffeomorphisms (English)
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10 June 2015
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The paper under review investigates geodesic equations corresponding to a family of right-invariant Riemannian metrics on the diffeomorphism group of a compact manifold. One of the main results is a factorization of diffeomorphisms that can be regarded as an analogue of the QR factorization of matrices.
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Euler-Arnold equations
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Euler-Poincaré equations
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descending metrics
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Riemannian submersion
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diffeomorphism groups
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Fisher information metric
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Fisher-Rao metric
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entropy differential metric
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geometric statistics
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Hunter-Saxton equation
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information geometry
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optimal transport
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polar factorization
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\(QR\) factorization
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Cholesky factorization
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Calabi metric
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