Integer Partitions, Tilings of2D-gons and Lattices

DOI10.1051/ita:2003004zbMath1028.05010OpenAlexW1977455507MaRDI QIDQ4405556

Matthieu Latapy

Publication date: 22 January 2004

Published in: RAIRO - Theoretical Informatics and Applications (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ITA_2002__36_4_389_0

zbMATH Keywords

dynamical models

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorics in computer science (68R05) Elementary theory of partitions (11P81) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Oriented matroids in discrete geometry (52C40) Lattices (06B99) Distributive lattices (06D99)

Related Items (5)

Parallel rank of two sandpile models of signed integer partitions ⋮ A note on the structure of spaces of domino tilings ⋮ Sand piles models of signed partitions with \(d\) piles ⋮ The lattice of integer partitions and its infinite extension ⋮ Random tilings of high symmetry. I: Mean-field theory

Cites Work

• The lattice of integer partitions and its infinite extension
• Games on line graphs and sand piles
• Configurational entropy of codimension-one tilings and directed membranes
• Coherence and enumeration of tilings of 3-zonotopes
• Rhombic tilings of polygons and classes of reduced words in Coxeter groups
• The lattice of integer partitions
• Tiling a polygon with parallelograms
• Lectures on Polytopes
• Ordered structures and partitions
• Fixed-boundary octagonal random tilings: A combinatorial approach
• Structure of some sand piles model
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