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dc.contributor.authorChung, Nhan-Phu
dc.contributor.authorZhang, Guohua
dc.date.accessioned2014-04-25T12:00:00Z
dc.date.accessioned2016-10-05T14:13:57Z
dc.date.available2014-04-25T12:00:00Z
dc.date.available2016-10-05T14:13:57Z
dc.date.issued2014-04-25
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1076
dc.descriptionResearch in Pairs 2013en_US
dc.description.abstractIn this paper, we shall introduce $h$-expansiveness and asymptotical $h$-expansiveness for actions of sofic groups. By the definitions, each h-expansive action of sofic groups is asymptotically $h$-expansive. We show that each expansive action of sofic groups is $h$-expansive, and, for any given asymptotically $h$-expansive action of sofic groups, the entropy function (with respect to measures) is upper semi-continuous and hence the system admits a measure with maximal entropy. Observe that asymptotically $h$-expansive property was firstly introduced and studied by Misiurewicz for $\mathbb{Z}$-actions using the language of tail entropy. And thus in the remaining part of the paper, we shall compare our definitions of weak expansiveness for actions of sofic groups with the definitions given in the same spirit of Misiurewicz's ideas when the group is amenable. It turns out that these two definitions are equivalent in this setting.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2014,05
dc.subjectActions of sofic groupsen_US
dc.subjectExpansive H-expansiveen_US
dc.subjectAsymptotically h-expansiveen_US
dc.subjectMeasures with maximal entropyen_US
dc.subjectActions of amenable groupsen_US
dc.titleWeak Expansiveness for Actions of Sofic Groupsen_US
dc.typePreprinten_US
dc.identifier.doi10.14760/OWP-2014-05
local.scientificprogramResearch in Pairs 2013
local.series.idOWP-2014-05
local.subject.msc37
local.subject.msc54


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