• MANOJ CHOUDHURI

      Articles written in Proceedings – Mathematical Sciences

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

      MANOJ CHOUDHURI

      More Details Abstract Fulltext PDF

      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.

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