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====Power Laws====
====Power Laws====
* Aaron Clauset, Cosma Rohilla Shalizi, M. E. J. Newman, [http://arxiv.org/abs/0706.1062 Power-law distributions in empirical data], E-print (2007). physics/0706.1062.  An excellent review paper.  Highly recommended.  Matlab and R code is available [http://www.santafe.edu/~aaronc/powerlaws/ here].


* M. E. J. Newman, [[Media:Newman.powerlaws.pdf|Power laws, Pareto distributions and Zipf's law]], ''Contemporary Physics'' '''46''', 323-351 (2005).  Anohter excellent review.


* Aaron Clauset, Cosma Rohilla Shalizi, M. E. J. Newman, [http://arxiv.org/abs/0706.1062 Power-law distributions in empirical data], E-print (2007). physics/0706.1062.  An excellent review paper.  Highly recommended.  Matlab and R code is available [http://www.santafe.edu/~aaronc/powerlaws/ here].
====Computational Mechanics====


* M. E. J. Newman, [[Media:Newman.powerlaws.pdf|Power laws, Pareto distributions and Zipf's law]], ''Contemporary Physics'' '''46''', 323-351 (2005)Anohter excellent review.  
* C. R. Shalizi and K. L. Klinkner, "Blind Construction of Optimal Nonlinear Recursive Predictors for Discrete Sequences", ''Uncertainty in Artificial Intelligence: Proceedings of the Twentieth Conference'' (UAI 2004), pp. 504--511Best description of the CSSR algorithm. [http://arxiv.org/abs/cs.LG/0406011 cs.LG/0406011]


* K. L. Klinkner, C. R. Shalizi and M. F. Camperi, "Measuring Shared Information and Coordinated Activity in Neuronal Networks", <cite>Advances in Neural Information Processing Systems 18</cite> (NIPS 2005), pp. 667--674.  Using CSSR to measure information sharing in networks (not just neural ones).  [http://arxiv.org/abs/q-bio.NC/0506009 q-bio.NC/0506009]





Revision as of 20:23, 11 June 2007

Dave Feldman

Lecture Notes

Additional Reading

General Complex Systems

  • James Crutchfield, What Lies between Order and Chaos?, in Art and Complexity, J. Casti, editor, Oxford University Press (2002). An interesting, non-technical essay discussing how new patterns are discovered, and how complexity arises from the interplay between order and chaos. This is an excellent introduction to the notions of complexity and emergence, and history of one strand of the study of complex systems.
  • J.B. Rosser, On the Complexities of Complex Economic Dynamics. Journal of Economic Perspectives. 13:169-192. 1999. I've only read about half of this. It strikes me as a thorough, even-handed review of the applications of "complexity theory" to economics. Presents good spectrum of views, from those who think complexity is mostly hype, to those who believe it has contributed significant new understandings. Contains around 125 references. pdf format, for AEA members.
  • Cosma Shalizi, 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.) This is an excellent, thorough review of the "field" -- to the extent that there is such a thing -- of complex systems. Covers many tools: statistical learning and model selection; time series analysis; cellular automata; agent-based models; the evaluation of complex-systems models; information theory; and ways of measuring complexity. Contains over 250 references. Also available here.

Entropy Rate, Excess Entropy

Power Laws

Computational Mechanics

  • C. R. Shalizi and K. L. Klinkner, "Blind Construction of Optimal Nonlinear Recursive Predictors for Discrete Sequences", Uncertainty in Artificial Intelligence: Proceedings of the Twentieth Conference (UAI 2004), pp. 504--511. Best description of the CSSR algorithm. cs.LG/0406011
  • K. L. Klinkner, C. R. Shalizi and M. F. Camperi, "Measuring Shared Information and Coordinated Activity in Neuronal Networks", Advances in Neural Information Processing Systems 18 (NIPS 2005), pp. 667--674. Using CSSR to measure information sharing in networks (not just neural ones). q-bio.NC/0506009


John Pepper

Lecture Notes

Additional Reading

Jon Wilkins

Lecture Notes

Additional Reading

Henry Wright

Lecture Notes

Additional Reading

Foragers and the Emergence of Agriculture

Villages and the Emergernce of Tribal Alliance Systems


Raising Civilizations