Deterministic Abelian Sandpile Models and Patterns

DOI10.1007/978-3-319-01204-9zbMath1296.82001OpenAlexW627831924MaRDI QIDQ5327517

Guglielmo Paoletti

Publication date: 7 August 2013

Published in: Springer Theses (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-01204-9

zbMATH Keywords

pattern formationcellular automatasandpile models

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Dynamical aspects of cellular automata (37B15) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (7)

The Apollonian structure of integer superharmonic matrices ⋮ Apollonian structure in the abelian sandpile ⋮ Deterministic Abelian Sandpile and Square-Triangle Tilings ⋮ Sandpile solitons in higher dimensions ⋮ A shape theorem for exploding sandpiles ⋮ Sandpile solitons via smoothing of superharmonic functions ⋮ Flow-firing processes

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