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

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dc.contributor.author Kadyrov, Shirali
dc.contributor.author Pohl, A.
dc.date.accessioned 2015-12-28T05:40:46Z
dc.date.available 2015-12-28T05:40:46Z
dc.date.issued 2012
dc.identifier.citation Kadyrov Shirali, Pohl A.; 2012; Amount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and hausdorff dimension ru_RU
dc.identifier.uri http://nur.nu.edu.kz/handle/123456789/976
dc.description.abstract Recently, 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.language.iso en ru_RU
dc.subject Research Subject Categories::MATHEMATICS ru_RU
dc.subject Hausdorff dimension ru_RU
dc.title Amount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and hausdorff dimension ru_RU
dc.type Article ru_RU


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