Ultrametric Logarithm Laws I

Details Ultrametric Logarithm Laws I Ultrametric Logarithm Laws I

2005-06-26

arxiv.org/abs/math/0506531v4

Mathematics

Geometric Topology

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Scientific paper

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.

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