Are there chaotic tilings!

DOI10.1007/BF02098297zbMath0790.28011MaRDI QIDQ1803950

Daniel Berend, Charles Radin

Publication date: 29 June 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

spectrumstatistical mechanicsautomata sequencestiling dynamical systems

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Equilibrium statistical mechanics (82B99) Combinatorial aspects of tessellation and tiling problems (05B45) Automata sequences (11B85) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (12)

On substitution automorphisms with pure singular spectrum ⋮ On diffraction by aperiodic structures ⋮ Space tilings and substitutions ⋮ The isoperimetric problem for pinwheel tilings ⋮ Self-similarity and spectral theory: on the spectrum of substitutions ⋮ A weakly mixing tiling dynamical system with a smooth model ⋮ Uniformly distributed orbits in \(\mathbb{T}^d\) and singular substitution dynamical systems ⋮ On the modulus of continuity for spectral measures in substitution dynamics ⋮ Substitutions, tiling dynamical systems and minimal self-joinings ⋮ Diffraction of return time measures ⋮ A spectral cocycle for substitution systems and translation flows ⋮ Aperiodic Tilings in Higher Dimensions

Cites Work

• Unnamed Item
• Substitution dynamical systems - spectral analysis
• Space tilings and local isomorphism
• Tilings, substitution systems and dynamical systems generated by them
• Global order from local sources
• DISORDERED GROUND STATES OF CLASSICAL LATTICE MODELS
• Mixing properties of substitutions

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