Quantitative Density under Higher Rank Abelian Algebraic Toral Actions

DOI10.1093/IMRN/RNQ222zbMath1235.37003arXiv1004.0035OpenAlexW2962698316MaRDI QIDQ3094140

Zhiren Wang

Publication date: 21 October 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0035

zbMATH Keywords

invariant setseffective boundabelian measure rigidity

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) General groups of measure-preserving transformations and dynamical systems (37A15) Diophantine approximation in probabilistic number theory (11K60)

Related Items (8)

Equidistribution of Affine Random Walks on Some Nilmanifolds ⋮ Recent progress on Bernoulli convolutions ⋮ Remarks on Euclidean minima ⋮ Diophantine approximation for products of linear maps — logarithmic improvements ⋮ Topological self-joinings of Cartan actions by toral automorphisms ⋮ Absolute continuity of Bernoulli convolutions for algebraic parameters ⋮ On density of infinite subsets. I ⋮ On the dimension of Bernoulli convolutions

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