Abelian sandpiles on Sierpiński gasket graphs

DOI10.37236/11520arXiv2209.03169OpenAlexW4391258603MaRDI QIDQ6117409

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Publication date: 19 February 2024

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

Full work available at URL: https://arxiv.org/abs/2209.03169

zbMATH Keywords

Markov chainsrandom walksstationary distributionmixing timeSierpiński gasketcritical configurationsandpilesnormal boundarymultiplicative harmonic function

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Finite abelian groups (20K01) Discrete potential theory (31C20) Random walks on graphs (05C81)

Cites Work

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• The number of spanning trees in self-similar graphs
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• Sandpile models
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• Chip-Firing and Rotor-Routing on Directed Graphs
• Self-organized critical state of sandpile automaton models
• DIVISIBLE SANDPILE ON SIERPINSKI GASKET GRAPHS
• Mixing time and eigenvalues of the abelian sandpile Markov chain

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