Escape of mass and entropy for diagonal flows in real rank one situations

dc.contributor.author	Einsiedler, M.
dc.contributor.author	Kadyrov, Shirali
dc.contributor.author	Pohl, A.
dc.date.accessioned	2015-12-28T05:56:48Z
dc.date.available	2015-12-28T05:56:48Z
dc.date.issued	2011
dc.identifier.citation	Einsiedler M., Kadyrov Shirali, Pohl A; 2011; Escape of mass and entropy for diagonal flows in real rank one situations	ru_RU
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/977
dc.description.abstract	Let G be a connected semisimple Lie group of real rank 1 with finite center, let 􀀀 be a non-uniform lattice in G and a any diagonalizable element in G. We investigate the relation between the metric entropy of a acting on the homogeneous space 􀀀\G and escape of mass. Moreover, we provide bounds on the escaping mass and, as an application, we show that the Hausdorff dimension of the set of orbits (under iteration of a) which miss a fixed open set is not full.	ru_RU
dc.language.iso	en	ru_RU
dc.subject	Research Subject Categories::MATHEMATICS	ru_RU
dc.subject	Hausdorff dimension	ru_RU
dc.title	Escape of mass and entropy for diagonal flows in real rank one situations	ru_RU
dc.type	Article	ru_RU