On two properties of the Fisher information

Published 6 Dec 2019 in math.AP, math-ph, and math.MP | (1912.03150v3)

Abstract: Alternative proofs for the superadditivity and the affinity (in the large system limit) of the usual and some fractional Fisher informations of a probability density of many variables are provided. They are consequences of the fact that such informations can be interpreted as quantum kinetic energies.

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Nicolas Rougerie

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