On enumeration and entropy of ribbon tilings

DOI10.37236/10991zbMath1518.52012arXiv2305.06332OpenAlexW4366771268MaRDI QIDQ6046222

Yinsong Chen, Vladislav Kargin

Publication date: 16 May 2023

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.06332

zbMATH Keywords

ribbon tilingsper-tile entropy

Mathematics Subject Classification ID

Combinatorial probability (60C05) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Polyominoes (05B50)

Cites Work

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• Enumeration of octagonal tilings
• Tilings of rectangles with T-tetrominoes
• Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves
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• The rank and minimal border strip decompositions of a skew partition
• Acyclic orientations of graphs
• Covering rectangles by few monotonous polyominoes
• A variational principle for domino tilings
• The statistics of dimers on a lattice
• Ribbon tilings and multidimensional height functions
• Ribbon tile invariants
• Enumeration of border-strip decompositions & Weil-Petersson volumes
• Dimer problem in statistical mechanics-an exact result
• An introduction to chromatic polynomials
• Hard and easy instances of L-tromino tilings

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