Logarithm laws for unipotent flows on hyperbolic manifolds

Shucheng Yu

doi:10.3934/jmd.2017018

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2017, Volume 11: 447-476. Doi: 10.3934/jmd.2017018

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Logarithm laws for unipotent flows on hyperbolic manifolds

Shucheng Yu

Department of Mathematics, Boston College, Chestnut Hill, MA 02467-3806, USA

Received: November 13, 2016

Revised: March 28, 2017

Published: October 2017

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Abstract

We prove logarithm laws for unipotent flows on non-compact finite-volume hyperbolic manifolds. Our method depends on the estimate of norms of certain incomplete Eisenstein series.

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Mathematics Subject Classification: Primary: 37A17; Secondary: 11M36.

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