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math.DS2025
Invariant random subgroups on certain orbits
Manoj Choudhuri, C. R. E. Raja
Let be a connected Lie group and be the space of closed subgroups of equipped with the Chabauty topology. In this article, we investigate the existence of in…
math.DS2022★ 1 cited
On the distality and expansivity of certain maps on spheres
Manoj Choudhuri, Gianluca Faraco, Alok Kumar Yadav
Any affine map on the (n+1)-dimensional Euclidean space gives rise to a natural map on the n-dimensional sphere whose dynamical aspects are not so well-studied in the literature. W…
math.DS2017
On certain orbits of geodesic flow and (a,b)-continued fractions
Manoj Choudhuri
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 e…