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THE MOBIUS FUNCTION AND DISTAL FLOWS

Author(s): Liu, Jianya; Sarnak, Peter C

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dc.contributor.authorLiu, Jianya-
dc.contributor.authorSarnak, Peter C-
dc.date.accessioned2018-07-20T15:09:00Z-
dc.date.available2018-07-20T15:09:00Z-
dc.date.issued2015-05-15en_US
dc.identifier.citationLiu, Jianya, Sarnak, Peter. (2015). THE MOBIUS FUNCTION AND DISTAL FLOWS. DUKE MATHEMATICAL JOURNAL, 164 (1353 - 1399. doi:10.1215/00127094-2916213en_US
dc.identifier.issn0012-7094-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1ph3j-
dc.description.abstractWe prove that the Mobius function is linearly disjoint from an analytic skew product on the 2-torus. These flows are distal and can be irregular in the sense that their ergodic averages need not exist for all points. The previous cases for which such disjointness has been proved are all regular We also establish the linear disjointness of the Mobius function from various distal homogeneous flows.en_US
dc.format.extent1353 - 1399en_US
dc.language.isoen_USen_US
dc.relation.ispartofDUKE MATHEMATICAL JOURNALen_US
dc.rightsAuthor's manuscripten_US
dc.titleTHE MOBIUS FUNCTION AND DISTAL FLOWSen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1215/00127094-2916213-
dc.date.eissued2015-05-14en_US
dc.identifier.eissn1547-7398-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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