Mixing properties of substitutions
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Publication:4122127
DOI10.1007/BF00534205zbMath0352.28007MaRDI QIDQ4122127
Michael S. Keane, F. Michel Dekking
Publication date: 1978
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Related Items
On substitution automorphisms with pure singular spectrum ⋮ Global order from local sources ⋮ There exists a topologically mixing interval exchange transformation ⋮ Sur l'ensemble normal des substitutions de longueur quelconque. (On the normal set of substitutions of arbitrary length) ⋮ Mixing properties and entropy bounds of a family of Pisot random substitutions ⋮ Caractérisation des ensembles normaux substitutifs. (Characterization of normal substitutional sets) ⋮ Topological Mixing of Higher Degrees ⋮ On the spectrum of \(\alpha \)-rigid maps ⋮ A note on the marginal instability rates of two-dimensional linear cocycles ⋮ Self-similarity and spectral theory: on the spectrum of substitutions ⋮ Topological mixing of random substitutions ⋮ Almost sure convergence of the multiple ergodic average for certain weakly mixing systems ⋮ Uniformly distributed orbits in \(\mathbb{T}^d\) and singular substitution dynamical systems ⋮ Some applications of computers to the investigation of substitutional dynamical systems. ⋮ On the modulus of continuity for spectral measures in substitution dynamics ⋮ Substitutions, tiling dynamical systems and minimal self-joinings ⋮ Introduction to Hierarchical Tiling Dynamical Systems ⋮ Invariant measures on stationary Bratteli diagrams ⋮ Mixing properties of numeration systems coming from weighted substitutions ⋮ Weakly homoclinic groups of ergodic actions ⋮ Are there chaotic tilings! ⋮ Fusion: a general framework for hierarchical tilings of \(\mathbb{R }^d\) ⋮ A sufficient condition for weak mixing of subtitutions and stationary adic transformations ⋮ Singular substitutions of constant length ⋮ Morphismes unispectraux. (Unispectral morphisms) ⋮ Finite rank Bratteli diagrams: Structure of invariant measures ⋮ Central sets generated by uniformly recurrent words
Cites Work
- Topological Mixing of Higher Degrees
- A Topologically Strongly Mixing Symbolic Minimal Set
- 0-1-sequences of Toeplitz type
- Sur les suites de Toeplitz
- The Structure of Substitution Minimal Sets
- Induced Flows
- Two-block substitutions and morphic words
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