Combinatorial and Spectral Properties of Semigroups of Stochastic Matrices

dc.contributor.author	Al’pin Y.
dc.contributor.author	Al’pina V.
dc.date.accessioned	2018-09-19T21:03:03Z
dc.date.available	2018-09-19T21:03:03Z
dc.date.issued	2016
dc.identifier.issn	1072-3374
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/143528
dc.description.abstract	© 2016, Springer Science+Business Media New York.The paper studies the notion of imprimitivity index of a semigroup of nonnegative matrices, introduced by Protasov and Voynov. A new characterization of the imprimitivity index in terms of the scrambling rank of a nonnegative matrix is suggested. Based on this characterization, an independent combinatorial proof of the Protasov–Voynov theorem on the interrelation between the imprimitivity index of a semigroup of stochastic matrices and the spectral properties of matrices in the semigroup is presented.
dc.relation.ispartofseries	Journal of Mathematical Sciences (United States)
dc.title	Combinatorial and Spectral Properties of Semigroups of Stochastic Matrices
dc.type	Article
dc.relation.ispartofseries-issue	6
dc.relation.ispartofseries-volume	216
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	730
dc.source.id	SCOPUS10723374-2016-216-6-SID84976334782

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