Anurag Rao

collaborators

2 papers

math.MG2020

Critical loci of convex domains in the plane

Dmitry Kleinbock, Anurag Rao, Srinivasan Sathiamurthy

Let $K$ be a bounded convex domain in $R^{2}$ symmetric about the origin. The critical locus of $K$ is defined to be the (non-empty compact) set of lattices $Λ$ in $\mathbb{…

math.NT2019

A zero-one law for uniform Diophantine approximation in Euclidean norm

Dmitry Kleinbock, Anurag Rao

We study a norm sensitive Diophantine approximation problem arising from the work of Davenport and Schmidt on the improvement of Dirichlet's theorem. Its supremum norm case was rec…