Deterministic Abelian Sandpile Models and Patterns

The model investigated in this work, a particular cellular automaton with stochastic evolution, was introduced as the simplest case of self-organized-criticality, that is, a dynamical system which shows algebraic long-range correlations without any tuning of parameters.   The author derives exact re...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Paoletti, Guglielmo (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Springer Theses, Recognizing Outstanding Ph.D. Research,
Temas:
System theory.
Mathematical physics.
Probabilities.
Computer simulation.
Complex Systems.
Theoretical, Mathematical and Computational Physics.
Mathematical Physics.
Probability Theory.
Computer Modelling.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • The Abelian Sandpile Model
  • Algebraic structure
  • Identity characterization
  • Pattern formation
  • Conclusions
  • SL(2, Z)
  • Complex notation for vectors in R2
  • Generalized quadratic B´ezier curve
  • Tessellation.

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