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.
@article{10_37236_11520,
author = {Robin Kaiser and Ecaterina Sava-Huss and Yuwen Wang},
title = {Abelian sandpiles on {Sierpi\'nski} gasket graphs},
journal = {The electronic journal of combinatorics},
year = {2024},
volume = {31},
number = {1},
doi = {10.37236/11520},
zbl = {1533.05254},
url = {http://geodesic.mathdoc.fr/articles/10.37236/11520/}
}
TY - JOUR
AU - Robin Kaiser
AU - Ecaterina Sava-Huss
AU - Yuwen Wang
TI - Abelian sandpiles on Sierpiński gasket graphs
JO - The electronic journal of combinatorics
PY - 2024
VL - 31
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/11520/
DO - 10.37236/11520
ID - 10_37236_11520
ER -
%0 Journal Article
%A Robin Kaiser
%A Ecaterina Sava-Huss
%A Yuwen Wang
%T Abelian sandpiles on Sierpiński gasket graphs
%J The electronic journal of combinatorics
%D 2024
%V 31
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/11520/
%R 10.37236/11520
%F 10_37236_11520
Robin Kaiser; Ecaterina Sava-Huss; Yuwen Wang. Abelian sandpiles on Sierpiński gasket graphs. The electronic journal of combinatorics, Tome 31 (2024) no. 1. doi: 10.37236/11520
