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The Resource Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)

Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)

Label
Deterministic Abelian Sandpile Models and Patterns
Title
Deterministic Abelian Sandpile Models and Patterns
Statement of responsibility
by Guglielmo Paoletti
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Author
Subject
Language
eng
Summary
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
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0
Literary form
non fiction
Series statement
Springer Theses, Recognizing Outstanding Ph.D. Research,
Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)
Label
Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://dx.doi.org/10.1007/978-3-319-01204-9
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Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- The Abelian Sandpile Model -- Algebraic structure -- Identity characterization -- Pattern formation -- Conclusions -- SL(2, Z) -- Complex notation for vectors in R2 -- Generalized quadratic Bézier curve -- Tessellation
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319012049&userID=ebsco-test&password=ebsco-test
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unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3552090'}
Extent
XII, 163 p. 64 illus., 33 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319012049
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

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