Abelian sandpiles on Sierpiński gasket graphs (Q6117409)
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scientific article; zbMATH DE number 7806441
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Abelian sandpiles on Sierpiński gasket graphs |
scientific article; zbMATH DE number 7806441 |
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Abelian sandpiles on Sierpiński gasket graphs (English)
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19 February 2024
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Summary: The aim of the current work is to investigate structural properties of the sandpile group of a special class of self-similar graphs. More precisely, we consider abelian sandpiles on Sierpiński gasket graphs and, for the choice of normal boundary conditions, we give a characterization of the identity element and a recursive description of the sandpile group. Finally, we consider abelian sandpile Markov chains on the aforementioned graphs and we improve the existing bounds on the speed of convergence to stationarity.
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sandpiles
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Markov chains
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random walks
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critical configuration
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mixing time
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stationary distribution
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Sierpiński gasket
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multiplicative harmonic function
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normal boundary
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