33 citations · 41 across the 12 of their papers we have counts for
7 papers · 1 filter
Hausdorff dimension of non-uniquely ergodic directions in eigenform loci
Yuming Wei, Pengyu Yang
We consider the eigenform locus in where is not a square. We prove that for any translation surface , the set of non…
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…
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…
Equidistribution of expanding translates of curves and Diophantine approximation on matrices
Pengyu Yang
We study the general problem of equidistribution of expanding translates of an analytic curve by an algebraic diagonal flow on the homogeneous space of a semisimple algebraic…
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,\…