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Dickinson, H. and Dodson, M. M. (2000) Extremal manifolds and Hausdorff dimension. Duke Mathematical Journal, 101 (2). pp. 271-281. ISSN 1547-7398
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Abstract
The recent proof by D. Y. Kleinbock and G. A. Margulis [11]
of Sprindžuk’s conjecture for smooth nondegenerate manifolds M means that the set Lv(M) of v-approximable points (this and other terminology is explained below) on M is of zero induced Lebesgue measure. This raises the question of its Hausdorff dimension.
| Item Type: | Article |
|---|---|
| Keywords: | D. Y. Kleinbock; G. A. Margulis; Hausdorff dimension; Extremal manifolds; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1536 |
| Depositing User: | Dr. Detta Dickinson |
| Date Deposited: | 14 Sep 2009 14:45 |
| Journal or Publication Title: | Duke Mathematical Journal |
| Publisher: | Duke University Press |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1536 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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