The stochastic sandpile model on complete graphs

DOI10.37236/12780zbMATH Open1548.05321MaRDI QIDQ6614181

Thomas Selig

Publication date: 7 October 2024

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

zbMATH Keywords

abelian sandpile modelDhar's burning algorithm

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)

Cites Work

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• Forests and score vectors
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• The abelian sandpile model on Ferrers graphs -- a classification of recurrent configurations
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• Combinatorial aspects of sandpile models on wheel and Fan graphs
• Self-organized criticality
• On the Interpretation of Whitney Numbers Through Arrangements of Hyperplanes, Zonotopes, Non-Radon Partitions, and Orientations of Graphs
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• Permutohedra, Associahedra, and Beyond
• Self-organized critical state of sandpile automaton models
• The convex hull of parking functions of length n
• Counting tournament score sequences

Related Items (1)

A note on the lacking polynomial of the complete bipartite graph

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