On the behavior of the spectrum of the limit frequencies of digits under perturbations of a real number

dc.contributor.author	Pushkin L.
dc.date.accessioned	2018-09-18T20:00:59Z
dc.date.available	2018-09-18T20:00:59Z
dc.date.issued	2009
dc.identifier.issn	0001-4346
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/135765
dc.description.abstract	It is shown that, under the action of random digitwise decaying perturbations not changing the spectrum of the limit frequencies of r-adic digits, an arbitrary real number written in the r-adic number systembecomes almost surely normal over all bases multiplicatively independent of r. Pleiades Publishing, Ltd., 2009.
dc.relation.ispartofseries	Mathematical Notes
dc.subject	Digitwise perturbations of a number
dc.subject	Lebesgue measure
dc.subject	Normal number
dc.subject	r-adic number system
dc.subject	Spectrum of limit frequencies of digits
dc.title	On the behavior of the spectrum of the limit frequencies of digits under perturbations of a real number
dc.type	Article
dc.relation.ispartofseries-issue	5-6
dc.relation.ispartofseries-volume	86
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	824
dc.source.id	SCOPUS00014346-2009-86-56-SID74049138358

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.