Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)
Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)
Resource Information
The item Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 The model investigated in this work, a particular cellular automaton with stochastic evolution, was introduced as the simplest case of selforganizedcriticality, that is, a dynamical system which shows algebraic longrange 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 sitebysite 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 nonequilibrium 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
 Language
 eng
 Extent
 XII, 163 p. 64 illus., 33 illus. in color.
 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 Ěezier curve
 Tessellation
 Isbn
 9783319012049
 Label
 Deterministic Abelian Sandpile Models and Patterns
 Title
 Deterministic Abelian Sandpile Models and Patterns
 Statement of responsibility
 by Guglielmo Paoletti
 Subject

 Distribution (Probability theory)
 Probability Theory and Stochastic Processes
 Numerical and Computational Physics
 Simulation and Modeling
 Physics
 Distribution (Probability theory)
 Mathematical Physics
 Statistical Physics, Dynamical Systems and Complexity
 Electronic resources
 Physics
 Computer simulation
 Computer simulation
 Physics
 Computer simulation
 Distribution (Probability theory)
 Language
 eng
 Summary
 The model investigated in this work, a particular cellular automaton with stochastic evolution, was introduced as the simplest case of selforganizedcriticality, that is, a dynamical system which shows algebraic longrange 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 sitebysite 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 nonequilibrium 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
 http://library.link/vocab/creatorName
 Paoletti, Guglielmo
 Image bit depth
 0
 LC call number
 QC174.7175.36
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Springer Theses, Recognizing Outstanding Ph.D. Research,
 http://library.link/vocab/subjectName

 Physics
 Computer simulation
 Distribution (Probability theory)
 Physics
 Statistical Physics, Dynamical Systems and Complexity
 Numerical and Computational Physics
 Mathematical Physics
 Probability Theory and Stochastic Processes
 Simulation and Modeling
 Label
 Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)
 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 B Ěezier curve  Tessellation
 Dimensions
 unknown
 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 control number
 10.1007/9783319012049
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319012049
 Label
 Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)
 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 B Ěezier curve  Tessellation
 Dimensions
 unknown
 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 control number
 10.1007/9783319012049
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319012049
Subject
 Computer simulation
 Computer simulation
 Computer simulation
 Distribution (Probability theory)
 Distribution (Probability theory)
 Distribution (Probability theory)
 Electronic resources
 Mathematical Physics
 Numerical and Computational Physics
 Physics
 Physics
 Physics
 Probability Theory and Stochastic Processes
 Simulation and Modeling
 Statistical Physics, Dynamical Systems and Complexity
Member of
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/DeterministicAbelianSandpileModelsand/RKfpb4853o8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/DeterministicAbelianSandpileModelsand/RKfpb4853o8/">Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/DeterministicAbelianSandpileModelsand/RKfpb4853o8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/DeterministicAbelianSandpileModelsand/RKfpb4853o8/">Deterministic Abelian Sandpile Models and Patterns, by Guglielmo Paoletti, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>