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The Abelian sandpile model (ASM) is the more popular name of the original Bak–Tang–Wiesenfeld model (BTW). BTW model was the first discovered example of a dynamical system displaying self-organized criticality. It was introduced by Per Bak, Chao Tang and Kurt Wiesenfeld in a 1987 paper. Three years later Deepak Dhar discovered that the BTW sandpile model indeed follows the abelian dynamics and therefore referred to this model as the Abelian sandpile model.

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  • Model de la pila de sorra (ca)
  • Abelian sandpile model (en)
  • Pila de arena (es)
  • Модель песчаной кучи (ru)
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  • Модель песчаной кучи (англ. sandpile model) — классическая модель теории самоорганизованной критичности, связанная со многими областями математики. (ru)
  • El model de la pila de sorra, també conegut com a model Bak–Tang–Wiesenfeld (BTW), és un autòmat cel·lular dissenyat per analitzar i explicar el comportament d'autoorganització a través de la teoria de grafs i la teoria d'autòmats cel·lulars, utilitzant eines algebraiques. Va ser el primer exemple descobert d'un sistema dinàmic que mostra autoorganització crítica, és a dir, que té punts crítics com un atractor en la seva evolució temporal. Fou introduït l'any 1987 per Per Bak, Chao Tang i Kurt Wiesenfeld. (ca)
  • The Abelian sandpile model (ASM) is the more popular name of the original Bak–Tang–Wiesenfeld model (BTW). BTW model was the first discovered example of a dynamical system displaying self-organized criticality. It was introduced by Per Bak, Chao Tang and Kurt Wiesenfeld in a 1987 paper. Three years later Deepak Dhar discovered that the BTW sandpile model indeed follows the abelian dynamics and therefore referred to this model as the Abelian sandpile model. (en)
  • El modelo de pilas de arena es un modelo matemático diseñado para analizar y explicar el comportamiento de la autoorganización crítica a través de la teoría de grafos y la teoría de autómatas celulares utilizando herramientas algebraicas. Considere una pila de arena o un reloj de arena apenas girado, si la pendiente es muy alta, la pila está lejos de encontrarse en equilibrio y colapsará hasta que la pendiente promedio llegue a un valor crítico en el cual el sistema es apenas estable bajo perturbaciones pequeñas. (es)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Harmonic_Sandpile_Dynamics.gif
  • http://commons.wikimedia.org/wiki/Special:FilePath/Sandpile_identity_300x205.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Sandpile_on_infinite_grid,_3e7_grains.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Scaling_sandpile_identity.gif
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