Articles written in Proceedings – Mathematical Sciences
Volume 131 All articles Published: 9 February 2021 Article ID 0002 Article
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.
Volume 131, 2021
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode