Central limit theorems for simultaneous Diophantine approximations

DOI10.5802/jep.37zbMath1387.60046arXiv1605.00311OpenAlexW2963190869MaRDI QIDQ2011975

Ilya Vinogradov, Bassam Fayad, Dmitry Dolgopyat

Publication date: 27 July 2017

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00311

zbMATH Keywords

Diophantine approximationcentral limit theoremlinear formweakly dependent random variablesSiegel transformationspace of lattice

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Diophantine approximation in probabilistic number theory (11K60) Homogeneous flows (37A17)

Related Items (6)

Asymptotic windings of horocycles ⋮ Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Rogers' mean value theorem for \(S\)-arithmetic Siegel transforms and applications to the geometry of numbers ⋮ Central limit theorems in the geometry of numbers ⋮ Central limit theorems for Diophantine approximants ⋮ Central limit theorems for generic lattice point counting

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