A classification of aperiodic order via spectral metrics and Jarník sets
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Publication:5235119
DOI10.1017/etds.2018.7zbMath1421.37014arXiv1601.06435OpenAlexW3099506657MaRDI QIDQ5235119
M. Steffens, Marc Kesseböhmer, A. Mosbach, Tony Samuel, Maik Gröger
Publication date: 7 October 2019
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.06435
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45)
Related Items (2)
Combinatorics of one-dimensional simple Toeplitz subshifts ⋮ Statistics of patterns in typical cut and project sets
Cites Work
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- A characterization of subshifts with bounded powers
- Spectral triples and Gibbs measures for expanding maps on Cantor sets
- Substitutions in dynamics, arithmetics and combinatorics
- A metric characterisation of repulsive tilings
- Rational points near manifolds and metric Diophantine approximation
- Spectral triples for subshifts
- Computer science -- theory and applications. Second international symposium on computer science in Russia, CSR 2007, Ekaterinburg, Russia, September 3--7, 2007. Proceedings
- A system of defining relations for a Grigorchuk group
- Quasicrystals and discrete geometry. Proceedings of the 1995 fall programme at The Fields Institute, Toronto, Canada
- Metrics on states from actions of compact groups
- Geometric models for quasicrystals. I. Delone sets of finite type
- Defining metric spaces via operators from unital \(C^*\)-algebras
- The index of Sturmian sequences
- Sets of exact approximation order by rational numbers
- Dimensions and singular traces for spectral triples, with applications to fractals
- Regularity of aperiodic minimal subshifts
- Spectra of Schreier graphs of Grigorchuk's group and Schroedinger operators with aperiodic order
- On powers of words occurring in binary codings of rotations
- Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets
- Spectral metric spaces for Gibbs measures
- Dirac operators and spectral triples for some fractal sets built on curves
- Amorphic complexity
- Dixmier traces and coarse multifractal analysis
- Spectral triples and characterization of aperiodic order
- Sums of two-dimensional spectral triples
- Classical metric Diophantine approximation revisited
- Représentation géométrique de suites de complexité $2n+1$
- Repetitive Delone sets and quasicrystals
- Linearly recurrent subshifts have a finite number of non-periodic subshift factors
- Directions in Mathematical Quasicrystals
- A characterization of linearly repetitive cut and project sets
- Local Complexity of Delone Sets and Crystallinity
- Beyond substitutive dynamical systems: S-adic expansions
- Schreier Graphs of Grigorchuk's Group and a Subshift Associated to a Nonprimitive Substitution
- Compact metric spaces, Fredholm modules, and hyperfiniteness
- Symbolic Dynamics II. Sturmian Trajectories
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