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

Institut für Diskrete Mathematik (5050)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	englisch
Aufsatznummer	19500324
Seitenumfang	20
Fachzeitschrift	Fractals
Jahrgang	27
Ausgabenummer	3
DOIs	https://doi.org/10.1142/S0218348X19500324
Publikationsstatus	Veröffentlicht - 2019

Zugriff auf Dokument

10.1142/S0218348X19500324

https://arxiv.org/abs/1702.08370

Dieses zitieren

@article{e5385ff160c5402bbd0d6d68df037ca8,

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. ",

author = "Ecaterina Sava-Huss and Wilfried Huss",

year = "2019",

doi = "10.1142/S0218348X19500324",

language = "English",

volume = "27",

journal = "Fractals",

issn = "0218-348X",

publisher = "World Scientific Publ.",

number = "3",

}

TY - JOUR

T1 - Divisible sandpile on Sierpinski gasket graphs

AU - Sava-Huss, Ecaterina

AU - Huss, Wilfried

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

U2 - 10.1142/S0218348X19500324

DO - 10.1142/S0218348X19500324

M3 - Article

SN - 0218-348X

VL - 27

JO - Fractals

JF - Fractals

IS - 3

M1 - 19500324

ER -

Divisible sandpile on Sierpinski gasket graphs

Abstract

Zugriff auf Dokument

Fingerprint

Dieses zitieren