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

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • Keywords


      Geodesic flow; modular surface; continued fractions; coding of geodesics.

    • Abstract


      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.

    • Author Affiliations



      1. Institute of Infrastructure Technology Research and Management, Near Khokhara Circle, Maninagar (East), Ahmedabad 380 026, India
    • Dates

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.