3 papers
math.NT2026
A zero-one law for improvements to Dirichlet's theorem in arbitrary dimension
Andreas Strömbergsson, Shucheng Yu
Let be a continuous decreasing function defined on all large positive real numbers. We say that a real matrix is -Dirichlet if for every sufficiently large r…
math.DS2025
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-…
math.NT2024
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…