14 citations · 15 across the 4 of their papers we have counts for
4 papers
New Kronecker-Weyl type equidistribution results and diophantine approximation
J. Beck, W. W. L. Chen, Y. Yang
An interesting result of Veech more than 50 years ago is a parity, or mod , version of the Kronecker--Weyl equidistribution theorem concerning the irrational rotation sequence $…
The Kronecker-Weyl equidistribution theorem and geodesics in 3-manifolds
Jozsef Beck, William Chen
Given any rectangular polyhedron 3-manifold tiled with unit cubes, we find infinitely many explicit directions related to cubic algebraic numbers such that all half-infinite ge…
Discrepancy and numerical integration on metric measure spaces
Luca Brandolini, William W. L. Chen, Leonardo Colzani +2
We study here the error of numerical integration on metric measure spaces adapted to a decomposition of the space into disjoint subsets. We consider both the error for a single giv…
An L^1 estimate for half-space discrepancy
William W. L. Chen, Giancarlo Travaglini
For every unit vector and every , let % % \begin{displaymath} P_{σ,r}=[-1,1]^d\cap\{t\in\Rr^d:t\cdotσ\le r\} \end{displaymath} % % denote the intersection of t…