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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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2014, 2014
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| Edition: | 1st ed. 2014 |
| Series: | Springer Theses, Recognizing Outstanding Ph.D. Research
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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