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Titlebook: Deterministic Abelian Sandpile Models and Patterns; Guglielmo Paoletti Book 2014 Springer International Publishing Switzerland 2014 Abelia

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書目名稱Deterministic Abelian Sandpile Models and Patterns
編輯Guglielmo Paoletti
視頻videohttp://file.papertrans.cn/270/269333/269333.mp4
概述Nominated as an outstanding PhD thesis by the University of Pisa.Includes many beautiful and highly detailed color images explaining the topic.Presents numerical protocols in detail, allowing readers
叢書名稱Springer Theses
圖書封面Titlebook: Deterministic Abelian Sandpile Models and Patterns;  Guglielmo Paoletti Book 2014 Springer International Publishing Switzerland 2014 Abelia
描述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 ol
出版日期Book 2014
關(guān)鍵詞Abelian Sandpile Model; Algebraic Structure; Cellular Automata; Computer Art; Pattern Formation; Plane Te
版次1
doihttps://doi.org/10.1007/978-3-319-01204-9
isbn_softcover978-3-319-34745-5
isbn_ebook978-3-319-01204-9Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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https://doi.org/10.1007/978-94-015-9839-2In this chapter we give a further insight in the algebraic structure of the ASM. We start in the first section recalling some notions on a number of known facts but using the formalism we will use further on.
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The Moral Threat of Personal MedicineWe want here to give a brief summary of the results reported in this thesis, with particular emphasis on the connections they share and the possible future improvements that they could lead.
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Identity Characterization,In this chapter we will present the derivation of an Explicit formula for the . of the Abelian Sandpile Model in a particular directed lattice, the ., that is known in literature also under the name of . [.]. This is the first explicit characterization of an Identity configuration for the ASM.
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Conclusions,We want here to give a brief summary of the results reported in this thesis, with particular emphasis on the connections they share and the possible future improvements that they could lead.
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