Critical loci of convex domains in the plane

Dmitry Kleinbock, Anurag Rao, Srinivasan Sathiamurthy

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