The structure of a linear chip firing game and related models

DOI10.1016/S0304-3975(01)00119-0zbMath0992.68226arXivmath/0010315OpenAlexW2051294537MaRDI QIDQ5958333

Eric Goles Chacc, Michel Morvan, Thi Ha Duong Phan

Publication date: 3 March 2002

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010315

zbMATH Keywords

latticefixed pointsand pile modelinteger partitionlinear chip firing gamemodel of Brylawski

Mathematics Subject Classification ID

Nonnumerical algorithms (68W05)

Related Items (13)

Sandpile models and lattices: a comprehensive survey ⋮ Emergence on Decreasing Sandpile Models ⋮ Kadanoff sand pile model. Avalanche structure and wave shape ⋮ Fixed-point forms of the parallel symmetric sandpile model ⋮ Strict partitions and discrete dynamical systems ⋮ Strong emergence of wave patterns on Kadanoff sandpiles ⋮ On the emergence of regularities on one-dimensional decreasing sandpiles ⋮ From sandpiles to sand automata ⋮ Random Walks, Electric Networks and The Transience Class problem of Sandpiles ⋮ Computational Complexity of the Avalanche Problem on One Dimensional Kadanoff Sandpiles ⋮ A survey on the stability of (extended) linear Sand Pile model ⋮ Directed nonabelian sandpile models on trees ⋮ Upward-closed hereditary families in the dominance order

Cites Work

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• Greedoids
• Balancing vectors in the max norm
• Longest chains in the lattice of integer partitions ordered by majorization
• Games on line graphs and sand piles
• Sandpiles and order structure of integer partitions
• The lattice of integer partitions
• Self-organized criticality
• Disks, Balls, and Walls: Analysis of a Combinatorial Game

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