Divisible sandpile on Sierpinski gasket graphs

Ecaterina Sava-Huss, Wilfried Huss

Research output: Contribution to journalArticleResearchpeer-review

Abstract

The divisible sandpile model is a growth model on graphs that was introduced by Levine and Peres as a tool to study internal diffusion limited aggregation. In this work we investigate the shape of the divisible sandpile model on the graphical Sierpinski gasket SG. We show that the shape is a ball in the graph metric of SG. Moreover we give an exact representation of the odometer function of the divisible sandpile.
Original languageEnglish
Article number19500324
Number of pages20
JournalFractals
Volume27
Issue number3
DOIs
Publication statusPublished - 2019

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Sierpinski Gasket
Sandpiles
Divisible
Sandpile Model
Graph in graph theory
Metric Graphs
Diffusion-limited Aggregation
Growth Model
Ball
Internal

Cite this

Divisible sandpile on Sierpinski gasket graphs. / Sava-Huss, Ecaterina; Huss, Wilfried.

In: Fractals, Vol. 27, No. 3, 19500324, 2019.

Research output: Contribution to journalArticleResearchpeer-review

Sava-Huss, Ecaterina ; Huss, Wilfried. / Divisible sandpile on Sierpinski gasket graphs. In: Fractals. 2019 ; Vol. 27, No. 3.
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