Shucheng Yu

works on

diophantine approximation 1 eisenstein integers 1 gaussian integers 1 homogeneous dynamics 1 zero-one laws 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.DS2026

Zero-one laws for uniform approximation via Gaussian and Eisenstein integers

RenÃ© Pfitscher, Anurag Rao, Shucheng Yu +1

The paper proves two zero‑one laws for uniform Diophantine approximation of complex numbers by quotients of Gaussian and Eisenstein integers, using homogeneous dynamics and shrinki…

math.NT2026

A zero-one law for improvements to Dirichlet's theorem in arbitrary dimension

Andreas StrÃ¶mbergsson, Shucheng Yu

Let $I ¨ $ be a continuous decreasing function defined on all large positive real numbers. We say that a real $m \times n$ matrix $A$ is $I ¨ $ -Dirichlet if for every sufficiently large…

math.DS2025

Extreme events and impact statistics for unipotent actions on the space of lattices

Jens Marklof, Andreas StrÃ¶mbergsson, 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- $k$ …

math.NT2025

Asymptotic estimates of large gaps between directions in certain planar quasicrystals

Gustav Hammarhjelm, Andreas StrÃ¶mbergsson, Shucheng Yu

For quasicrystals of cut-and-project type in $R^{d}$ , it was proved by Marklof and StrÃ¶mbergsson that the limit local statistical properties of the directions to the points…