Data di Pubblicazione:
2012
Citazione:
Multiple and inverse topplings in the Abelian Sandpile Model / S. Caracciolo, G. Paoletti, A. Sportiello. - In: THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS. - ISSN 1951-6355. - 212:1(2012), pp. 23-44.
Abstract:
The Abelian Sandpile Model is a cellular automaton whose discrete dynamics reaches an out-of-equilibrium steady state resem- bling avalanches in piles of sand. The fundamental moves defining the dynamics are encoded by the toppling rules. The transition monoid corresponding to this dynamics in the set of stable configurations is abelian, a property which seems at the basis of our understanding of the model. By including also antitoppling rules, we introduce and in- vestigate a larger monoid, which is not abelian anymore. We prove a number of algebraic properties of this monoid, and describe their prac- tical implications on the emerging structures of the model.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
S. Caracciolo, G. Paoletti, A. Sportiello
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