Ergodic properties of square-free numbers

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

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DC Field	Value	Language
dc.contributor.author	Cellarosi, F	-
dc.contributor.author	Sinai, Yakov G.	-
dc.date.accessioned	2018-07-20T15:11:20Z	-
dc.date.available	2018-07-20T15:11:20Z	-
dc.date.issued	2013	en_US
dc.identifier.citation	Cellarosi, F, Sinai, Ya G. (2013). Ergodic properties of square-free numbers. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 15 (1343 - 1374. doi:10.4171/JEMS/394	en_US
dc.identifier.issn	1435-9855	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1709v	-
dc.description.abstract	We 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.extent	1343 - 1374	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY	en_US
dc.rights	Author's manuscript	en_US
dc.title	Ergodic properties of square-free numbers	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.4171/JEMS/394	-
dc.date.eissued	2013-05-09	en_US
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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