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Abelian sandpiles on Sierpinski gasket graphs
- Publication Year :
- 2022
-
Abstract
- 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 Sierpinski 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.
- Subjects :
- Mathematics - Combinatorics
Mathematics - Probability
05C81, 20K01, 31C20, 60J10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2209.03169
- Document Type :
- Working Paper