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arXiv:1703.09002 [math.DS]AbstractReferencesReviewsResources

On cusp excursions of geodesics and Diophantine approximation

Manoj Choudhuri

Published 2017-03-27Version 1

In this article we describe some new examples of correspondence between Diophantine approximation and homogeneous dynamics, by characterizing two kinds of exceptional orbits of geodesic flow associated with the Modular surface. The characterization uses a two parameter family of continued fraction expansion of endpoints of the lifts to the hyperbolic plane of the corresponding geodesics.

Comments: 25 pages, 4 figures
Categories: math.DS
Subjects: 37A17, 11J70
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