Approximate lattices
From MaRDI portal
Publication:1626586
DOI10.1215/00127094-2018-0028zbMath1452.22002arXiv1612.09246OpenAlexW3037452940MaRDI QIDQ1626586
Tobias Hartnick, Michael Björklund
Publication date: 21 November 2018
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.09246
Geometric group theory (20F65) Ergodic theory on groups (22D40) Discrete subgroups of Lie groups (22E40) Measurable group actions (22F10)
Related Items (17)
Approximate invariance for ergodic actions of amenable groups ⋮ Geometry, dynamics and spectrum of operators on discrete spaces. Abstracts from the workshop held January 3--9, 2021 (online meeting) ⋮ Infinite approximate subgroups of soluble Lie groups ⋮ A note on entropy of Delone sets ⋮ Delone dynamical systems and spectral convergence ⋮ Approximate lattices in higher-rank semi-simple groups ⋮ Classifying the dynamics of architected materials by groupoid methods ⋮ Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022 ⋮ Extensions of Schreiber's theorem on discrete approximate subgroups in \(\mathbb{R}^d\) ⋮ Aperiodic order and spherical diffraction. III: The shadow transform and the diffraction formula ⋮ Relative topological entropy for actions of non-discrete groups on compact spaces in the context of cut and project schemes ⋮ Analytic properties of approximate lattices ⋮ Approximate Lattices and Meyer Sets in Nilpotent Lie Groups ⋮ Aperiodic order and spherical diffraction. II: Translation bounded measures on homogeneous spaces ⋮ BOREL DENSITY FOR APPROXIMATE LATTICES ⋮ Spectral theory of approximate lattices in nilpotent Lie groups ⋮ Leptin densities in amenable groups
Cites Work
- Metric geometry of locally compact groups
- Density properties for certain subgroups of semi-simple groups without compact components
- Arithmetic subgroups of algebraic groups
- Random walks on discrete groups: Boundary and entropy
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Ergodic and mixing random walks on locally compact groups
- Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
- Quasi-actions on trees. I: Bounded valence
- A general Choquet-Deny theorem for nilpotent groups
- The structure of approximate groups.
- Envelopes of certain solvable groups.
- On the structure and arithmeticity of lattice envelopes
- On the growth of \(L^2\)-invariants for sequences of lattices in Lie groups
- Product set estimates for non-commutative groups
- Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
- Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
- Kesten's theorem for invariant random subgroups.
- Two-step nilpotent Lie algebras
- Uniformly recurrent subgroups
- Lectures on approximate groups and Hilbert’s 5th problem
- Isometry groups of non-positively curved spaces: discrete subgroups
- Quasi-flats and rigidity in higher rank symmetric spaces
- Aperiodic order and spherical diffraction, I: auto-correlation of regular model sets
- On roughly transitive amenable graphs and harmonic Dirichlet functions
- Mostow-Margulis rigidity with locally compact targets
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Approximate lattices
