Hello,
I agree and, among the best reading on this topic, I would also add:
1/ Newman MEJ (2005): Power laws, Pareto distributions and Zipf's law, Contemporary Physics, 46:5, 323-351
2/ Clauset A. et al. (2009) Power-Law
Distributions in Empirical Data SIAM REVIEW Vol. 51, No. 4, pp. 661–703
3/ LeBaron B. (2001) Stochastic volatility as a simple generator of apparent financial power laws and long memory, Quantitative Finance, 1:6, 621-631
Hope this helps,
Gianluca
De : News and discussion about computer simulation in the social sciences
[mailto:[log in to unmask]] De la part de Norman Johnson
Envoyé : mercredi 25 septembre 2013 23:53
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Objet : Re: [SIMSOC] Models of power-law group formation?
This may be different than what you wished, but I found these very helpful.
The best treatments on types of systems and relationships that cause power law behavior that I’ve seen are the work by Doyne Farmer at Santa Fe Institute around 2005-2008:
And a slide presentation: “Power laws”, J. Doyne Farmer, Santa Fe Institute Summer School. June 29, 2005. (A quick search on the web didn’t reveal this, so if you don’t find it please contact me for a copy.)
The most overlooked cause of power law behavior is the random sampling of a system with exponential growth as described by:
William J. Reed and Barry D. Hughes, “From gene families and genera to incomes and internet file sizes: Why power laws are so common in nature.” PHYSICAL REVIEW E 66, 067103 2002.
This paper is put in context of complex systems in Cosma’s excellent review:
Shalizi, Cosma R., “METHODS AND TECHNIQUES OF COMPLEX SYSTEMS SCIENCE: AN OVERVIEW”, Chapter 1 (pp. 33-114) in Thomas S. Deisboeck and J. Yasha Kresh (eds.), Complex Systems Science in Biomedicine (New York:Springer, 2006).
http://arxiv.org/abs/nlin/0307015
Hello all,
A student of mine is working on a new model for her thesis, and as part of that, is doing a literature review on agent-based models of the formation of membership in groups or institutions that produce power-law distributions of membership. In particular, we
are also interested in the agglomerative and dispersive assumptions that underlie these models.
I'm happy to compile a list and report back to the mailing list.
Thanks very much,
Dawn
Dawn Cassandra Parker
School of Planning
University of Waterloo
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http://www.planning.uwaterloo.ca/faculty/parker/index.html
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