The Resource Deterministic Abelian sandpile models and patterns, Guglielmo Paoletti

Deterministic Abelian sandpile models and patterns, Guglielmo Paoletti

Label
Deterministic Abelian sandpile models and patterns
Title
Deterministic Abelian sandpile models and patterns
Statement of responsibility
Guglielmo Paoletti
Creator
Author
Subject
Genre
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Paoletti, Guglielmo
Degree
Ph. D.
Dewey number
515.984
Dissertation year
2012
Granting institution
University of Pisa
Illustrations
illustrations
Index
no index present
LC call number
QA345
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • theses
Series statement
Springer theses,
http://library.link/vocab/subjectName
  • Functions, Abelian
  • MATHEMATICS
  • MATHEMATICS
  • Physique
  • Astronomie
  • Functions, Abelian
Label
Deterministic Abelian sandpile models and patterns, Guglielmo Paoletti
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-01204-9
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
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 Bezier curve -- Tessellation
Dimensions
unknown
Extent
1 online resource (xii, 163 pages)
File format
unknown
Form of item
online
Isbn
9783319012049
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-01204-9
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)859600045
  • (OCoLC)ocn859600045
Label
Deterministic Abelian sandpile models and patterns, Guglielmo Paoletti
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-01204-9
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
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 Bezier curve -- Tessellation
Dimensions
unknown
Extent
1 online resource (xii, 163 pages)
File format
unknown
Form of item
online
Isbn
9783319012049
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-01204-9
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)859600045
  • (OCoLC)ocn859600045

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