Sets of bounded remainder for a continuous irrational rotation on $[0,1]^2$

DOI10.4064/AA8453-8-2016zbMath1384.11082arXiv1603.00207OpenAlexW2962893222MaRDI QIDQ2957225

Sigrid Grepstad, Gerhard Larcher

Publication date: 25 January 2017

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00207

zbMATH Keywords

discrepancybounded remainder setcontinuous irrational rotation

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Distribution modulo one (11J71)

Related Items (7)

A study in quantitative equidistribution on the unit square ⋮ Bounded error uniformity of the linear flow on the torus ⋮ Summability and speed of convergence in an ergodic theorem ⋮ Speed of convergence of Weyl sums over Kronecker sequences ⋮ On bounded remainder intervals and strongly non-bounded remainder intervals for sequences \((\{a_n \alpha \})_{n \geq 1}\) ⋮ A universality law for sign correlations of eigenfunctions of differential operators ⋮ Weighted \(1\times 1\) cut-and-project sets in bounded distance to a lattice

This page was built for publication: Sets of bounded remainder for a continuous irrational rotation on $[0,1]^2$