Back to Search Start Over

Abelian sandpiles on Sierpinski gasket graphs

Authors :
Kaiser, Robin
Sava-Huss, Ecaterina
Wang, Yuwen
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.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2209.03169
Document Type :
Working Paper