Arctic octahedron in three-dimensional rhombus tilings and related integer solid partitions

DOI10.1023/A:1020464224385zbMath1025.52012arXivcond-mat/0201309OpenAlexW3104397289MaRDI QIDQ1863058

Yanyan Li

Publication date: 11 March 2003

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0201309

zbMATH Keywords

configurational entropyrandom tilingsboundary effectstransition matrixMonte Carlo algorithmsinteger partitions

Mathematics Subject Classification ID

Combinatorial probability (60C05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

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CONFIGURATIONAL ENTROPY FOR STONE-INFLATION HEXAGONAL AND OCTAGONAL PATTERNS ⋮ On a square-ice analogue of plane partitions ⋮ Numerical entropy and phason elastic constants of plane random tilings with any 2D-fold symmetry ⋮ Asymptotic expression for raw moment of the multiplicity of a part in a general partition function ⋮ Unnamed Item ⋮ Estimating the asymptotics of solid partitions ⋮ Graph encoding of 2D-gon tilings ⋮ Random tilings of high symmetry. I: Mean-field theory ⋮ Random tilings of high symmetry. II: Boundary conditions and numerical studies

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