Quasicrystal Ising chain and automata theory
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Publication:1100507
DOI10.1007/BF01010446zbMath0641.10043OpenAlexW2023247992MaRDI QIDQ1100507
Jean-Paul Allouche, Michel Mendès France
Publication date: 1986
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01010446
Hamiltonianpartition functionfinite automatasubstitutionsautomatic sequenceinfinite quasicrystal Ising chain
Formal languages and automata (68Q45) Topological dynamics (37B99) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Sequences and sets (11B99)
Related Items (18)
Some properties of Ising automata ⋮ The Ising chain with nonconstant external field ⋮ On the conjugation of standard morphisms ⋮ Stieltjes continued fractions related to the paperfolding sequence and Rudin-Shapiro sequence ⋮ Iterative devices generating infinite words ⋮ On sequences resulting from iteration of modified quadratic and palindromic mappings ⋮ On a sequence of rational functions ⋮ One-dimensional inhomogeneous Ising model: A new approach. ⋮ On the automaticity of sequences defined by the Thue–Morse and period-doubling Stieltjes continued fractions ⋮ Opacity of an automaton. Application to inhomogeneous Ising chain ⋮ Le p-pliage de papier ⋮ Some studies on the \((p,q)\)-type sequences ⋮ Sums and rational multiples of \(q\)-automatic sequences are \(q\)-automatic ⋮ Spectrum and extended states in a harmonic chain with controlled disorder: Effects of the Thue-Morse symmetry ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Primitive substitutive numbers are closed under rational multiplication ⋮ Iteration of maps by an automaton
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