Limiting shapes for a non-abelian sandpile growth model and related cellular automata

Anne Fey, Liu Hai-yan

Type: Preprint

Publication Date: 2010-01-01

Citations: 5

DOI: https://doi.org/10.48550/arxiv.1006.4928

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+ PDF Chat	A growth model based on the arithmetic Z-game	2016	Cristian Cobeli Mihai Prunescu Alexandru Zaharescu
+ PDF Chat	A sandpile model for proportionate growth	2013	Deepak Dhar Tridib Sadhu
+ PDF Chat	Discrete Balayage and Boundary Sandpile	2019	Hayk Aleksanyan Henrik Shahgholian
+ PDF Chat	Pattern formation in fast-growing sandpiles	2012	Tridib Sadhu Deepak Dhar

Works Cited by This (8)

Action	Title	Year	Authors
+	The Abelian sandpile : a mathematical introduction	2001	Rwj Meester F. Redig Dmitri Znamenski
+	Scaling theory of self-organized criticality	1989	Yicheng Zhang
+ PDF Chat	Uniqueness of the stationary distribution and stabilizability in Zhang's sandpile model	2009	Ronald Meester Anne Fey-den Boer Haiyan Liu
+ PDF Chat	Limiting Shapes for Deterministic Centrally Seeded Growth Models	2007	Anne Fey-den Boer Frank Redig
+ PDF Chat	Strong Spherical Asymptotics for Rotor-Router Aggregation and the Divisible Sandpile	2008	Lionel Levine Yuval Peres
+ PDF Chat	Growth Rates and Explosions in Sandpiles	2009	Anne Fey Lionel Levine Yuval Peres
+ PDF Chat	The Abelian sandpile and related models	1999	Deepak Dhar
+ PDF Chat	A Probabilistic Approach to Zhang’s Sandpile Model	2008	Anne Fey-den Boer Ronald Meester C.M. Quant Frank Redig