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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 for all sufficiently large positive real numbers. We say that a real matrix is -Dirichlet if for every suffic…
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…