Diffraction of compatible random substitutions in one dimension

DOI10.1016/j.indag.2018.05.008zbMath1457.82054arXiv1712.00323OpenAlexW2963996350WikidataQ129748159 ScholiaQ129748159MaRDI QIDQ1653255

Michael Baake, Nicolae Strungaru, Timo Spindeler

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/1712.00323

zbMATH Keywords

diffractionFibonacci substitutions

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Convergence of probability measures (60B10)

Related Items

Eberlein decomposition for PV inflation systems ⋮ Diffraction of compatible random substitutions in one dimension ⋮ Dynamical systems arising from random substitutions ⋮ Mixing properties and entropy bounds of a family of Pisot random substitutions ⋮ Inflation word entropy for semi-compatible random substitutions ⋮ Spectral theory of dynamical systems as diffraction theory of sampling functions ⋮ Measure theoretic entropy of random substitution subshifts ⋮ Multifractal analysis of measures arising from random substitutions ⋮ Topological mixing of random substitutions ⋮ Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition ⋮ Ergodic frequency measures for random substitutions ⋮ On norm almost periodic measures ⋮ Number-theoretic positive entropy shifts with small centralizer and large normalizer ⋮ Periodic points in random substitution subshifts

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