Diophantine properties of nilpotent Lie groups

DOI10.1112/S0010437X14007854zbMath1332.22011arXiv1307.1489WikidataQ115256443 ScholiaQ115256443MaRDI QIDQ3448432

Emmanuel Breuillard, Lior Rosenzweig, Nicolas de Saxcé, Menny Aka

Publication date: 23 October 2015

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1489

zbMATH Keywords

equidistributionnilpotent Lie groupsword mapsDiophantine subgroup

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Nilpotent and solvable Lie groups (22E25) Diophantine approximation in probabilistic number theory (11K60)

Related Items (7)

On small gaps in the length spectrum ⋮ Intrinsic Diophantine approximation in Carnot groups and in the Siegel model of the Heisenberg group ⋮ On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products ⋮ Diophantine approximation on matrices and Lie groups ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ Effective discreteness radius of stabilizers for stationary actions ⋮ On metric Diophantine approximation in matrices and Lie groups

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