Tiling problems and undecidability in the cluster variation method.

DOI10.1007/BF01026496zbMath1084.82508OpenAlexW2072919800MaRDI QIDQ1963548

A. G. Schlijper

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01026496

zbMATH Keywords

undecidabilityvariational principlecluster variation methodtiling problemClassical lattice system

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical equilibrium statistical mechanics (general) (82B05) Applications of selfadjoint operator algebras to physics (46L60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• Turing-machines and the Entscheidungsproblem
• A note on the Entscheidungsproblem
• On Computable Numbers, with an Application to the Entscheidungsproblem
• A Theory of Cooperative Phenomena
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