5 citations · 6 across the 6 of their papers we have counts for
8 papers
Conjugacy limits of certain subgroups in $\SL(2,\mathbb{R})\ltimes\mathbb{R}^2$
Manoj Choudhuri, C. R. E. Raja
We study conjugacy limits of certain of subgroups inside $\SL(2,\R)\ltimes\R^2$. These subgroups have a common feature that any two in the same category are conjugates of each othe…
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…
On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory
Manoj Choudhuri, Prashant J. Makadiya
We develop a continued fraction algorithm in finite extensions of $\Q_p$ generalising certain algorithms in $\Q_p$, and prove the finiteness property for certain small degree exten…
On values of isotropic quadratic forms
Manoj Choudhuri, Prashant J. Makadiya
Let be a locally compact non-discrete field of characteristic and be a non-degenerate isotropic binary quadratic form with coefficients in . We obtain asymptotic e…
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…
Nilpotent Lie groups and hyperbolic automorphisms
Manoj Choudhuri, C. R. E. Raja
A connected Lie group admitting an expansive automorphism is known to be nilpotent, but all nilpotent Lie groups do not admit expansive automorphism. In this article, we find suffi…
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…
On values of binary quadratic forms at integer points
Manoj Choudhuri, S. G. Dani
We obtain estimates for the number of integral solutions in large balls, of inequalities of the form , where is an indefinite binary quadratic form, in terms of…