• MANOJ CHOUDHURI

Articles written in Proceedings – Mathematical Sciences

• On certain orbits of geodesic flow and $(a,b)$-continued fractions

In this article, we characterize two kinds of exceptional orbits of the geodesic flow associated with the modular surface in terms of a two-parameter family of continued fraction expansion of endpoints of the lifts to the hyperbolic plane of the corresponding geodesics. As a consequence, we obtain an extension of Dani correspondence between homogeneous dynamics and Diophantine approximation.

• # Proceedings – Mathematical Sciences

Volume 131, 2021
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