Logarithm laws for unipotent flows, Ⅱ

Jayadev S. Athreya; Gregory A. Margulis

doi:10.3934/jmd.2017001

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2017, Volume 11: 1-16. Doi: 10.3934/jmd.2017001 open access

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Logarithm laws for unipotent flows, Ⅱ

Jayadev S. Athreya^1, and
Gregory A. Margulis^2,

1.
Department of Mathematics, University of Washington, Seattle, WA 98195, USA
2.
Department of Mathematics, Yale University, New Haven, CT 06520, USA

Received: October 21, 2014

Revised: August 29, 2016

Published: November 2016

Supported by NSF grants DMS 0603636, DMS 1069153, and CAREER grant DMS 1351853.Supported by NSF grant DMS 0801195 and 1265695.

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We prove analogs of the logarithm laws of Sullivan and KleinbockMargulis in the context of unipotent flows. In particular, we prove results for horospherical actions on homogeneous spaces G/Γ.

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Mathematics Subject Classification: 37A17; Secondary: 11H16.

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References

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