An application of lattice points counting to shrinking target problems

Dmitry Kleinbock; Xi Zhao

doi:10.3934/dcds.2018007

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2018, Volume 38, Issue 1: 155-168. Doi: 10.3934/dcds.2018007

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An application of lattice points counting to shrinking target problems

Dmitry Kleinbock^, and
Xi Zhao

Brandeis University, Waltham MA, 02454, USA

* Corresponding author: Dmitry Kleinbock
* Corresponding author: Dmitry Kleinbock

Received: December 31, 2016

Revised: June 30, 2017

Published: October 2017

The first-named author was supported by NSF grants DMS-1101320 and DMS-1600814.

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We apply lattice points counting results to solve a shrinking target problem in the setting of discrete time geodesic flows on hyperbolic manifolds of finite volume.

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Mathematics Subject Classification: Primary:37D40;Secondary:53D25, 37A25.

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