Ultrametric logarithm laws I

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


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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