Positive fixed points of quadratic operators and Gibbs measures

dc.contributor.author	Eshkabilov Y.
dc.contributor.author	Nodirov S.
dc.contributor.author	Haydarov F.
dc.date.accessioned	2018-09-19T21:15:00Z
dc.date.available	2018-09-19T21:15:00Z
dc.date.issued	2016
dc.identifier.issn	1385-1292
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/143678
dc.description.abstract	© 2016, Springer International Publishing.In this paper we consider a model with nearest-neighbor interactions and with the set [0, 1] of spin values, on the Cayley tree of order two. Translational-invariant Gibbs measures for the model investigated by properties of positive fixed points of quadratic operators in the cone of R2. In the last section it is constructed kernels for the Hammerstien’s integral operator, which there exists two and three positive fixed points.
dc.relation.ispartofseries	Positivity
dc.subject	Cayley tree
dc.subject	Configuration
dc.subject	Fixed point
dc.subject	Quadratic operator
dc.subject	Translational-invariant Gibbs measure
dc.title	Positive fixed points of quadratic operators and Gibbs measures
dc.type	Article
dc.relation.ispartofseries-issue	4
dc.relation.ispartofseries-volume	20
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	929
dc.source.id	SCOPUS13851292-2016-20-4-SID84954309476

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