Divisible sandpile on Sierpinski gasket graphs

Ecaterina Sava-Huss; Wilfried Huss

doi:10.1142/S0218348X19500324

Divisible sandpile on Sierpinski gasket graphs

Ecaterina Sava-Huss, Wilfried Huss

Institute of Discrete Mathematics (5050)

Research output: Contribution to journal › Article › peer-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 language	English
Article number	19500324
Number of pages	20
Journal	Fractals
Volume	27
Issue number	3
DOIs	https://doi.org/10.1142/S0218348X19500324
Publication status	Published - 2019

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10.1142/S0218348X19500324

https://arxiv.org/abs/1702.08370

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title = "Divisible sandpile on Sierpinski gasket graphs",

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. ",

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DO - 10.1142/S0218348X19500324

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SN - 0218-348X

VL - 27

JO - Fractals

JF - Fractals

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Divisible sandpile on Sierpinski gasket graphs

Abstract

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