dc.contributor.author |
Kadyrov, Shirali
|
|
dc.date.accessioned |
2015-12-28T06:22:51Z |
|
dc.date.available |
2015-12-28T06:22:51Z |
|
dc.date.issued |
2015 |
|
dc.identifier.citation |
Kadyrov Shirali; 2015; Exceptional sets in homogeneous spaces and hausdorff dimension |
ru_RU |
dc.identifier.uri |
http://nur.nu.edu.kz/handle/123456789/979 |
|
dc.description.abstract |
In this paper we study the dimension of a family of sets arising in open dynamics. We use exponential mixing results for diagonalizable ows in compact homogeneous spaces X to show that the Hausdorff dimension of set of points that lie on trajectories missing a particular open ball of radius r is at most dimX + C rdimX log r; where C > 0 is a constant independent of r > 0. Meanwhile, we also describe a general method for computing the least cardinality of open covers of dynamical sets using volume estimates. |
ru_RU |
dc.language.iso |
en |
ru_RU |
dc.subject |
Research Subject Categories::MATHEMATICS |
ru_RU |
dc.subject |
Hausdorff dimension |
ru_RU |
dc.title |
Exceptional sets in homogeneous spaces and hausdorff dimension |
ru_RU |
dc.type |
Article |
ru_RU |