Equidistribution of dense subgroups on nilpotent Lie groups

DOI10.1017/S0143385709000091zbMath1194.22012arXiv0710.4489WikidataQ115336295 ScholiaQ115336295MaRDI QIDQ5188010

Emmanuel Breuillard

Publication date: 10 March 2010

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

Full work available at URL: https://arxiv.org/abs/0710.4489

zbMATH Keywords

nilpotent groupsergodic theorylocal limit theoremequidistributions of points of a discrete subgroup

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

Diophantine properties of nilpotent Lie groups ⋮ Intrinsic Diophantine approximation in Carnot groups and in the Siegel model of the Heisenberg group ⋮ Ergodic theory and the duality principle on homogeneous spaces ⋮ On Arnol’d’s and Kazhdan’s equidistribution problems ⋮ Positive harmonic functions on the Heisenberg group. II ⋮ The local limit theorem on nilpotent Lie groups

Cites Work

• Unnamed Item
• Nilpotent Lie groups: Structure and applications to analysis
• Density of integer points on affine homogeneous varieties
• Ergodic properties of some linear actions
• Random walks on discrete groups of polynomial volume growth
• Unipotent flows and counting lattice points on homogeneous varieties
• Uniform distribution in solvmanifolds
• Lattice action on the boundary of SL $(n,\mathbb{R})}$
• Croissance des boules et des géodésiques fermées dans les nilvariétés
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups