4 papers
Zero-one laws for uniform approximation via Gaussian and Eisenstein integers
René Pfitscher, Anurag Rao, Shucheng Yu +1
We establish two distinct zero-one laws for the uniform Diophantine approximation of complex numbers by quotients of Gaussian integers and by quotients of Eisenstein integers. Usin…
A zero-one law for improvements to Dirichlet's theorem in arbitrary dimension
Andreas Strömbergsson, Shucheng Yu
Let be a continuous decreasing function defined for all sufficiently large positive real numbers. We say that a real matrix is -Dirichlet if for every suffic…
Extreme events and impact statistics for unipotent actions on the space of lattices
Jens Marklof, Andreas Strömbergsson, Shucheng Yu
This paper extends a recent extreme value law for horocycle flows on the space of two-dimensional lattices, due to Kirsebom and Mallahi-Karai, to the simplest examples of rank-…
Asymptotic estimates of large gaps between directions in certain planar quasicrystals
Gustav Hammarhjelm, Andreas Strömbergsson, Shucheng Yu
For quasicrystals of cut-and-project type in , it was proved by Marklof and Strömbergsson that the limit local statistical properties of the directions to the points…