Limiting shapes for a non-abelian sandpile growth model and related cellular automata

zbMath1233.82022arXiv1006.4928MaRDI QIDQ3105316

Haiyan Liu, Anne Fey

Publication date: 5 January 2012

Full work available at URL: https://arxiv.org/abs/1006.4928

zbMATH Keywords

Green's functioncellular automatagrowth modelsandpile modellimiting shape

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items (4)

A growth model based on the arithmetic \(Z\)-game ⋮ A shape theorem for exploding sandpiles ⋮ A sandpile model for proportionate growth ⋮ Discrete balayage and boundary sandpile

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