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Fixed-boundary octagonal random tilings: A combinatorial approach

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Publication:5931543
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DOI10.1023/A:1026564710037zbMath0984.52007arXivcond-mat/0004145MaRDI QIDQ5931543

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Publication date: 2 July 2001

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0004145


zbMATH Keywords

configurational entropydiscrete dynamical systemsgeneralized partitionsrandom tilingsYoung tableaux


Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Quasicrystals and aperiodic tilings in discrete geometry (52C23)


Related Items (8)

A formula for the number of tilings of an octagon by rhombi ⋮ Perfect matchings in random octagonal chain graphs ⋮ Enumeration of octagonal tilings ⋮ Integer Partitions, Tilings of2D-gons and Lattices ⋮ Asymptotic expression for raw moment of the multiplicity of a part in a general partition function ⋮ Estimating the asymptotics of solid partitions ⋮ Random tilings of high symmetry. I: Mean-field theory ⋮ Random tilings of high symmetry. II: Boundary conditions and numerical studies







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