54 citations · 392 across the 25 of their papers we have counts for
25 papers
Equidistribution of non-uniformly stretching translates of shrinking smooth curves and weighted Dirichlet approximation
Nimish A. Shah, Pengyu Yang
We show that under the action of , where , on the space of unimodular lattices…
Equidistribution of expanding degenerate manifolds in the space of lattices
Nimish A. Shah, Pengyu Yang
For the space of unimodular lattices in a Euclidean space, we give necessary and sufficient conditions for equidistribution of expanding translates of any real-analytic submanifold…
Equidistribution in the space of 3-lattices and Dirichlet-improvable vectors on planar lines
Dmitry Kleinbock, Nicolas de Saxcé, Nimish A. Shah +1
Let , and . Let denote the push-forward of the normalized Lebesgue measure on a segm…
Quantitative behavior of unipotent flows and an effective avoidance principle
Elon Lindenstrauss, Amir Mohammadi, Gregory Margulis +1
We give an effective bound on how much time orbits of a unipotent group on an arithmetic quotient can stay near homogeneous subvarieties of corresponding to $\math…
Primitive rational points on expanding horocycles in products of the modular surface with the torus
Manfred Einsiedler, Manuel Luethi, Nimish Shah
We prove effective equidistribution of primitive rational points and of primitive rational points defined by monomials along long horocycle orbits in products of the torus and the…
Limit distributions of expanding translates of shrinking submanifolds and non-improvability of Dirichlet's approximation theorem
Nimish A. Shah, Pengyu Yang
On the space of unimodular lattices in , we consider the standard action of $a(t)=\mathrm{diag}(t^n,t^{-1},\ldots,t^{-1})\in \mathrm{SL}(n+1,\…