Lattice orbit distribution on ℝ2

DOI10.1017/S0143385709000558zbMath1204.37004MaRDI QIDQ3583791

Arnaldo Nogueira

Publication date: 18 August 2010

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Diophantine approximationlinear orbit

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (4)

Classifying GL\((n,\mathbb{Z})\)-orbits of points and rational subspaces ⋮ Classifying orbits of the affine group over the integers ⋮ On $C^*$-algebras associated to actions of discrete subgroups of $\operatorname{SL}(2,\mathbb{R})$ on the punctured plane ⋮ Quantitative ergodic theorems and their number-theoretic applications

Cites Work

• Unnamed Item
• On the discrepancy of (n\(\alpha\) ). II
• The discrepancy of \((n\alpha)_{n\geq 1}\)
• Orbit distribution on \(\mathbb R^2\) under the natural action of \(\mathrm{SL}(2,\mathbb Z)\)
• Distribution des orbites des réseaux sur le plan réel
• On uniformly distributed orbits of certain horocycle flows
• On Integers n Relatively Prime to [αn]
• On the Number of Primitive Lattice Points in a Parallelogram

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