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arXiv:1411.5900 [math.DS]AbstractReferencesReviewsResources

Logarithm Laws for Unipotent Flows, II

Jayadev S. Athreya, Gregory Margulis

Published 2014-11-21Version 1

We prove analogs of the logarithm laws of Sullivan and Kleinbock-Margulis in the context of unipotent flows. In particular, we prove results for horospherical actions on homogeneous spaces $G/\Gamma$. We describe some relations with multi-dimensional diophantine approximation.

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