Idempotent measure

id: idempotent-measure-201-5995309
title: Idempotent measure
text: In mathematics, an idempotent measure on a metric group is a probability measure that equals its convolution with itself; in other words, an idempotent measure is an idempotent element in the topological semigroup of probability measures on the given metric group. Explicitly, given a metric group X and two probability measures μ and ν on X, the convolution μ ∗ ν of μ and ν is the measure given by for any Borel subset A of X. With respect to the topology of weak convergence of measures, the opera
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original url: https://en.wikipedia.org/wiki/Idempotent_measure
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date modified: 2024-03-13T03:11:28Z
main entity: {"identifier":"Q5988171","url":"https://www.wikidata.org/entity/Q5988171"}
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