Discrete systems and abelian sandpiles
type: Item
instance of: scholarly article
title: Discrete systems and abelian sandpiles
zbMATH Open document ID: 1178.82054
author: M. van der Put
author: Fai Lung Tsang
published in: Journal of Algebra
publication date: 2009-09-10T00:00:00Z
full work available at URL: 2009JAlgebravdPut.pdf
review text: The sandpile model has been introduced by Bak, Tang and Wiesenfeld [Comm. Math. Phys. 264, No. 3, 843 (2006)] as a typical example of dynamical systems involving self-criticality. This system exhibits Abelian property. It gives rise to various interesting problems such as, for instance, the definition of the sandpile dynamics in infinite volume on the one hand, and the uniqueness of measure with maximal entropy on the other hand. The paper focuses on the analysis of the structure of these discrete systems and provides some algebraic results which are related to the stability of the dynamics.
Mathematics Subject Classification ID: 82C20
zbMATH DE Number: 5602645
zbMATH Keywords: discrete systems
zbMATH Keywords: sandpile
zbMATH Keywords: homological algebra
zbMATH Keywords: module theory
zbMATH Keywords: injective cogenerator
reviewed by: Guy Jumarie
MaRDI profile type: Publication
OpenAlex ID: W2076674124
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cites work: Q3265726
DOI: 10.1016/J.JALGEBRA.2009.02.025
description: scientific article; zbMATH DE number 5602645