Lévy group and density measures |
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| Authors: | Martin Sleziak,Milo&scaron Ziman |
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| Affiliation: | Department of Algebra, Geometry and Mathematical Education, Faculty of Mathematics, Physics and Informatics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia |
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| Abstract: | We will deal with finitely additive measures on integers extending the asymptotic density. We will study their relation to the Lévy group G of permutations of N. Using a new characterization of the Lévy group G we will prove that a finitely additive measure extends density if and only if it is G-invariant. |
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| Keywords: | primary, 11B05, 28A12 secondary, 20B27, 28D05 |
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