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Upper semi-continuity of entropy in non-compact settings

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dc.contributor.authorIommi, Godofredo
dc.contributor.authorTodd, Michael John
dc.contributor.authorVelozo, Aníbal
dc.date.accessioned2020-12-18T09:30:09Z
dc.date.available2020-12-18T09:30:09Z
dc.date.issued2020-12-14
dc.identifier255998713
dc.identifier0cd94abc-3668-4277-aab7-0e267502281c
dc.identifier000598911300004
dc.identifier85098644104
dc.identifier.citationIommi , G , Todd , M J & Velozo , A 2020 , ' Upper semi-continuity of entropy in non-compact settings ' , Mathematical Research Letters , vol. 27 , no. 4 , pp. 1055-1077 . https://doi.org/10.4310/MRL.2020.v27.n4.a4en
dc.identifier.issn1073-2780
dc.identifier.otherORCID: /0000-0002-0042-0713/work/85566930
dc.identifier.urihttps://hdl.handle.net/10023/21174
dc.descriptionFunding: G.I. was partially supported by CONICYT PIA ACT172001 and by Proyecto Fondecyt 1190194.en
dc.description.abstractWe prove that the entropy map for countable Markov shifts of finite entropy is upper semi-continuous on the set of ergodic measures. Note that the phase space is non-compact. We also discuss the related problem of existence of measures of maximal entropy.
dc.format.extent342020
dc.language.isoeng
dc.relation.ispartofMathematical Research Lettersen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleUpper semi-continuity of entropy in non-compact settingsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. School of Mathematics and Statisticsen
dc.identifier.doi10.4310/MRL.2020.v27.n4.a4
dc.description.statusPeer revieweden
dc.date.embargoedUntil2020-12-14


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