Amount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and hausdorff dimension

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dc.contributor.authorKadyrov, Shirali
dc.contributor.authorPohl, A.
dc.date.accessioned2015-12-28T05:40:46Z
dc.date.available2015-12-28T05:40:46Z
dc.date.issued2012
dc.description.abstractRecently, Einsiedler and the authors provided a bound in terms of escape of mass for the amount by which upper-semicontinuity for metric entropy fails for diagonal ows on homogeneous spaces 􀀀nG, where G is any connected semisimple Lie group of real rank 1 with nite center, and 􀀀 is any nonuniform lattice in G. We show that this bound is sharp, and apply the methods used to establish bounds for the Hausdorff dimension of the set of points which diverge on average.ru_RU
dc.identifier.citationKadyrov Shirali, Pohl A.; 2012; Amount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and hausdorff dimensionru_RU
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/976
dc.language.isoenru_RU
dc.subjectResearch Subject Categories::MATHEMATICSru_RU
dc.subjectHausdorff dimensionru_RU
dc.titleAmount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and hausdorff dimensionru_RU
dc.typeArticleru_RU

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