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Ergodic properties of square-free numbers

Author(s): Cellarosi, F; Sinai, Yakov G.

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dc.contributor.authorCellarosi, F-
dc.contributor.authorSinai, Yakov G.-
dc.date.accessioned2018-07-20T15:11:20Z-
dc.date.available2018-07-20T15:11:20Z-
dc.date.issued2013en_US
dc.identifier.citationCellarosi, F, Sinai, Ya G. (2013). Ergodic properties of square-free numbers. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 15 (1343 - 1374. doi:10.4171/JEMS/394en_US
dc.identifier.issn1435-9855-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1709v-
dc.description.abstractWe construct a natural invariant measure concentrated on the set of square-free numbers, and invariant under the shift. We prove that the corresponding dynamical system is isomorphic to a translation on a compact Abelian group. This implies that this system is not weakly mixing and has zero measure-theoretical entropy.en_US
dc.format.extent1343 - 1374en_US
dc.language.isoen_USen_US
dc.relation.ispartofJOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETYen_US
dc.rightsAuthor's manuscripten_US
dc.titleErgodic properties of square-free numbersen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.4171/JEMS/394-
dc.date.eissued2013-05-09en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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