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The Mathematical Intelligencer
Article . 2005 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2005
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2005
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Goldbug variations

Authors: Kleber, Michael;

Goldbug variations

Abstract

This "Mathematical Entertainments" column from the Intelligencer is an exposition of current investigations, rooted in recent work of Jim Propp, into "quasirandom" analogues of random walk and random aggregation processes. Featured are the "Goldbugs" and the "Rotor-router". These are deterministic processes which simulate the random ones, for example having the same limiting states, but with faster convergence. The paper includes three large illustrations, which appear twice in the submission, as both raster image (.png) and postscript (.eps) files. The latter are much larger but needed for latex inclusion; the former are smaller, used by pdflatex, and better for pixel-level viewing.

20 pages, 6 figures (incl. 3 large color illustrations)

Related Organizations
Keywords

Recreational mathematics, Probability (math.PR), Interacting random processes; statistical mechanics type models; percolation theory, Fibonacci numbers, 05-02 (Primary) 60-02, 65C99 (Secondary), Recreational mathematics, games (education), FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics - Probability

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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Average
Top 10%
Top 10%
Green