Graph maps with zero topological entropy and sequence entropy pairs

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dc.contributor.authorLi, Jian
dc.contributor.authorLiang, Xianjuan
dc.contributor.authorOprocha, Piotr
dc.date.accessioned2022-05-04T08:35:02Z
dc.date.available2022-05-04T08:35:02Z
dc.date.issued2021
dc.description.abstractWe show that graph map with zero topological entropy is Li-Yorke chaotic if and only if it has an NS-pair (a pair of non-separable points containing in a same solenoidal omega-limit set), and a non-diagonal pair is an NS-pair if and only if it is an IN-pair if and only if it is an IT-pair. This completes characterization of zero topological sequence entropy for graph maps.cs
dc.description.firstpage4757cs
dc.description.issue11cs
dc.description.lastpage4770cs
dc.description.sourceWeb of Sciencecs
dc.description.volume149cs
dc.identifier.citationProceedings of the American Mathematical Society. 2021, vol. 149, issue 11, p. 4757-4770.cs
dc.identifier.doi10.1090/proc/15578
dc.identifier.issn0002-9939
dc.identifier.issn1088-6826
dc.identifier.urihttp://hdl.handle.net/10084/146107
dc.identifier.wos000695492700020
dc.language.isoencs
dc.publisherAmerican Mathematical Societycs
dc.relation.ispartofseriesProceedings of the American Mathematical Societycs
dc.relation.urihttps://doi.org/10.1090/proc/15578cs
dc.rights© Copyright 2021 American Mathematical Societycs
dc.subjectgraph mapcs
dc.subjecttopological entropycs
dc.subjecttopological sequence entropycs
dc.subjecttamenesscs
dc.subjectLi-Yorke chaoscs
dc.subjectnon-separable pointscs
dc.subjectIN-paircs
dc.subjectIT-paircs
dc.titleGraph maps with zero topological entropy and sequence entropy pairscs
dc.typearticlecs
dc.type.statusPeer-reviewedcs

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