1 citations · 1 across the 5 of their papers we have counts for
5 papers
Birkhoff genericity on affine subspaces in horospheres
Nimish A. Shah, Pengyu Yang
We study Birkhoff genericity for a simple uniformly expanding diagonal flow on , with initial points restricted to affine…
Limit distributions for action on -lattices in
Michael Bersudsky, Nimish A. Shah
We study the asymptotic distribution of norm ball averages along orbits of a lattice acting on the moduli space of pairs of orthogonal discrete subgroups…
An effective closing lemma for unipotent flows
Elon Lindenstrauss, Gregory Margulis, Amir Mohammadi +2
We prove an effective closing lemma for unipotent flows on quotients of perfect real groups. This is largely motivated by recent developments in effective unipotent dynamics.
Equidistribution of polynomially bounded o-minimal curves in homogeneous spaces
Michael Bersudsky, Nimish A. Shah, Hao Xing
We extend Ratner's theorem on equidistribution of individual orbits of unipotent flows on finite volume homogeneous spaces of Lie groups to trajectories of non-contracting curves d…
An upper bound of the Hausdorff dimension of singular vectors on affine subspaces
Nimish A. Shah, Pengyu Yang
In Diophantine approximation, the notion of singular vectors was introduced by Khintchine in the 1920's. We study the set of singular vectors on an affine subspace of $\mathbb{R}^n…