Global order from local sources

DOI10.1090/S0273-0979-1991-16077-5zbMath0808.52020MaRDI QIDQ3976873

Charles Radin

Publication date: 25 June 1992

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

symbolic dynamicstilingcrystalssphere packing

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Classical equilibrium statistical mechanics (general) (82B05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items

Local rules for pentagonal quasi-crystals ⋮ On diffraction by aperiodic structures ⋮ Symmetry of tilings of the plane ⋮ Space tilings and substitutions ⋮ Aperiodic tilings ⋮ Typical ground states for large sets of interactions ⋮ The isoperimetric problem for pinwheel tilings ⋮ Meyer's concept of quasicrystal and quasiregular sets ⋮ Building a Stationary Stochastic Process From a Finite-Dimensional Marginal ⋮ Space tilings and local isomorphism ⋮ How should one define a (weak) crystal? ⋮ Recurrence and periodicity in infinite words from local periods ⋮ Aperiodic Tilings in Higher Dimensions ⋮ Are there chaotic tilings! ⋮ Aperiodic tilings of the hyperbolic plane by convex polygons ⋮ A multidimensional critical factorization theorem

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