Fisher information and matrix-valued valuations |
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| Authors: | Monika Ludwig |
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| Institution: | aInstitut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstr. 8-10/104, 1040 Wien, Austria;bDepartment of Mathematics, Polytechnic Institute of New York University, 6 MetroTech Center, Brooklyn, NY 11201, USA |
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| Abstract: | All continuous and affinely contravariant matrix-valued valuations on the Sobolev space W1,2(Rn) are completely classified. It is shown that there is a unique such valuation. This valuation turns out to be the Fisher information matrix. |
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| Keywords: | MSC: 62B10 46E35 52A20 52B45 94A17 |
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