Amorphic complexity of group actions with applications to quasicrystals
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Publication:5881734
DOI10.1090/tran/8700OpenAlexW3120407635MaRDI QIDQ5881734
Dominik Kwietniak, Gabriel Fuhrmann, Maik Gröger, Tobias Jäger
Publication date: 13 March 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.05034
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Cites Work
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- Slow entropy for noncompact sets and variational principle
- Isomorphic extensions and applications
- On the table and the chair
- Substitutions in dynamics, arithmetics and combinatorics
- On pattern entropy of weak model sets
- Mean-L-stable systems
- Hausdorff dimension in probability theory. I, II
- A characterization of model multi-colour sets
- Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks
- \(\mathbb Z^d\) Toeplitz arrays
- Combinatorial lemmas and applications to dynamics
- Combinatorial independence in measurable dynamics
- Entropy and isomorphism theorems for actions of amenable groups
- Pointwise theorems for amenable groups.
- Complexity as a homeomorphism invariant for tiling spaces
- The structure of tame minimal dynamical systems for general groups
- Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems
- Almost periodic measures and long-range order in Meyer sets
- Pure point dynamical and diffraction spectra
- Relative topological entropy for actions of non-discrete groups on compact spaces in the context of cut and project schemes
- Measures and stabilizers of group Cantor actions
- The structure of mean equicontinuous group actions
- The systems with almost Banach-mean equicontinuity for abelian group actions
- Constant length substitutions, iterated function systems and amorphic complexity
- Topology and topological sequence entropy
- Mathematics of aperiodic order
- Independence in topological and \(C^*\)-dynamics
- On the complexity of topological conjugacy of Toeplitz subshifts
- Polynomial entropies and integrable Hamiltonian systems
- Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies
- Covering properties and Følner conditions for locally compact groups
- Amorphic complexity
- Some remarks on modified power entropy
- Orbit equivalence rigidity of equicontinuous systems
- Notes on the Schreier graphs of the Grigorchuk group
- Weak mixing properties for non-singular actions
- Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy
- Entropy dimension of topological dynamical systems
- Toeplitz flows and model sets
- Characterization of model sets by dynamical systems
- G -odometers and their almost one-to-one extensions
- The dynamical properties of Penrose tilings
- Topological Sequence Entropy
- Auslander systems
- Quasi-uniform convergence in dynamical systems generated by an amenable group action
- Examples in the entropy theory of countable group actions
- Amorphic complexity can take any nonnegative value in general metric spaces
- Model sets with positive entropy in Euclidean cut and project schemes
- On tameness of almost automorphic dynamical systems for general groups
- Automorphisms of compact Kähler manifolds with slow dynamics
- Sous-décalages de Toeplitz sur les groupes moyennables résiduellement finis
- Meyer sets, topological eigenvalues, and Cantor fiber bundles
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
- Mean equicontinuity and mean sensitivity
- Irregular model sets and tame dynamics
- Ergodic Theory
