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

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