Athreya, J. S. ; Ghosh, Anish ; Prasad, Amritanshu (2009) Ultrametric logarithm laws I Discrete and Continuous Dynamical Systems - Series S, 2 (2). pp. 337-348. ISSN 1937-1632
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Official URL: http://aimsciences.org/article/doi/10.3934/dcdss.2...
Related URL: http://dx.doi.org/10.3934/dcdss.2009.2.337
Abstract
We announce ultrametric analogues of the results of Kleinbock-Margulis for shrinking target properties of semisimple group actions on symmetric spaces. The main applications are S-arithmetic Diophantine approximation results and logarithm laws for buildings, generalizing the work of Hersonsky-Paulin on trees.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Mathematical Sciences. |
| Keywords: | Diophantine Approximation; Local Fields; Shrinking Target Properties; Logarithm Laws |
| ID Code: | 114312 |
| Deposited On: | 05 Jun 2018 09:25 |
| Last Modified: | 05 Jun 2018 09:25 |
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