Dynamical systems arising from random substitutions
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Publication:1653261
DOI10.1016/j.indag.2018.05.013zbMath1409.37023arXiv1707.09836OpenAlexW2962986567WikidataQ121717781 ScholiaQ121717781MaRDI QIDQ1653261
Publication date: 17 July 2018
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.09836
Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Topological entropy (37B40) Symbolic dynamics (37B10)
Related Items
Eberlein decomposition for PV inflation systems, Diffraction of compatible random substitutions in one dimension, Substitution-based structures with absolutely continuous spectrum, Mixing properties and entropy bounds of a family of Pisot random substitutions, Inflation word entropy for semi-compatible random substitutions, Lots of aperiodic sets of tiles, Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings, Measure theoretic entropy of random substitution subshifts, Multifractal analysis of measures arising from random substitutions, Topological mixing of random substitutions, Deltoid tangents with evenly distributed orientations and random tilings, Ergodic frequency measures for random substitutions, Periodic points in random substitution subshifts, Random substitution tilings and deviation phenomena, Zeckendorf representations and mixing properties of sequences, Tilings and traces
Cites Work
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- An uncountable set of tiling spaces with distinct cohomology
- Diffraction of random noble means words
- The number of binary words avoiding Abelian fourth powers grows exponentially
- On the entropy of a family of random substitutions
- Substitutions in dynamics, arithmetics and combinatorics
- On the structure of Mandelbrot's percolation process and other random Cantor sets
- Quasiperiodicity and randomness in tilings of the plane
- Substitution dynamical systems. Spectral analysis
- Power of words and recognizability of fixpoints of a substitution
- Existence of a dense orbit and topological transitivity: when are they equivalent?
- Diffraction of compatible random substitutions in one dimension
- Cohomology of one-dimensional mixed substitution tiling spaces
- Introduction to probability and measure
- Aperiodic substitution systems and their Bratteli diagrams
- Substitutional dynamical systems, Bratteli diagrams and dimension groups
- Topological invariants for substitution tilings and their associated $C^\ast$-algebras
- Beyond primitivity for one-dimensional substitution subshifts and tiling spaces
- An Introduction to Symbolic Dynamics and Coding
- Rank and symbolic complexity
- Beyond substitutive dynamical systems: S-adic expansions
- Polymetric brick wall patterns and two-dimensional substitutions
