Deterministic Abelian Sandpile Models and Patterns
(Sprache: Englisch)
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...
Voraussichtlich lieferbar in 3 Tag(en)
versandkostenfrei
Buch (Kartoniert)
Fr. 122.90
inkl. MwSt.
- Kreditkarte, Paypal, Rechnungskauf
- 30 Tage Widerrufsrecht
Produktdetails
Produktinformationen zu „Deterministic Abelian Sandpile Models and Patterns “
Klappentext zu „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 results which are potentially also interesting outside the area of critical phenomena. Exact means also site-by-site and not only ensemble average or coarse graining. Very complex and amazingly beautiful periodic patterns are often generated by the dynamics involved, especially in deterministic protocols in which the sand is added at chosen sites. For example, the author studies the appearance of allometric structures, that is, patterns which grow in the same way in their whole body, and not only near their boundaries, as commonly occurs. The local conservation laws which govern the evolution of these patterns are also presented. This work has already attracted interest, not only in non-equilibrium statistical mechanics, but also in mathematics, both in probability and in combinatorics. There are also interesting connections with number theory. Lastly, it also poses new questions about an old subject. As such, it will be of interest to computer practitioners, demonstrating the simplicity with which charming patterns can be obtained, as well as to researchers working in many other areas.
Inhaltsverzeichnis zu „Deterministic Abelian Sandpile Models and Patterns “
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.
Autoren-Porträt von Guglielmo Paoletti
Guglielmo Paoletti is a post-doc researcher at the Laboratoire d'Informatique de Paris 6 in Paris since January 2013. Born in 1982, he graduated in Physics in 2007 at University of Milan and got his doctorate in Physics at University of Pisa in 2012. He has been a post-doc at the Laboratory of Theoretical Physics and Statistical Models in Orsay-Paris in 2012. He is interested in Statistical Mechanics and Critical Phenomena in relation with combinatorics and graph theory. He published several peer-reviewed papers on international journals. His PhD thesis has been awarded and published by Springer.
Bibliographische Angaben
- Autor: Guglielmo Paoletti
- 2016, Softcover reprint of the original 1st ed. 2014, XII, 163 Seiten, 33 farbige Abbildungen, Masse: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3319347454
- ISBN-13: 9783319347455
Sprache:
Englisch
Kommentar zu "Deterministic Abelian Sandpile Models and Patterns"
0 Gebrauchte Artikel zu „Deterministic Abelian Sandpile Models and Patterns“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Deterministic Abelian Sandpile Models and Patterns".
Kommentar verfassen