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References Outline References References References References Principles of Complex Systems Course 300, Fall, 2008 Prof. Peter Dodds References Department of Mathematics & Statistics University of Vermont Licensed under the Creative


  1. References Outline References References References References Principles of Complex Systems Course 300, Fall, 2008 Prof. Peter Dodds References Department of Mathematics & Statistics University of Vermont Licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License . Frame 1/20 Frame 2/20 References I References References II References M. Abramowitz and I. A. Stegun, editors. P . Bak, C. Tang, and K. Wiesenfeld. Handbook of Mathematical Functions . References References Self-organized criticality - an explanation of 1/f noise. Dover Publications, New York, 1974. Phys. Rev. Lett. , 59(4):381–384, 1987. L. Adamic, R. Lukose, A. Puniyani, and B. Huberman. P . Ball. Search in power-law networks. Critical Mass: How One Thing Leads to Another . Phys. Rev. E , 64:046135, 2001. pdf ( ⊞ ) Farra, Straus, and Giroux, New York, 2004. M. Adler. J. R. Banavar, A. Maritan, and A. Rinaldo. Stardom and talent. Size and form in efficient transportation networks. American Economic Review , pages 208–212, 1985. pdf ( ⊞ ) Nature , 399:130–132, 1999. pdf ( ⊞ ) R. Albert, H. Jeong, and A.-L. Barabási. Y. Bar-Yam. Error and attack tolerance of complex networks. Dynamics of Complex Systems” . Nature , 406:378–382, July 2000. pdf ( ⊞ ) Westview Press, Boulder, CO, 2003. A.-L. Barabási and R. Albert. P . W. Anderson. Emergence of scaling in random networks. More is different. Science , 286:509–511, 1999. pdf ( ⊞ ) Science , 177(4047):393–396, August 1972. pdf ( ⊞ ) E. D. Beinhocker. R. Axtell. The Origin of Wealth . Zipf distribution of U.S. firm sizes. Harvard Business School Press, Cambridge, MA, 2006. Science , 293(5536):1818–1820, 2001. pdf ( ⊞ ) A. Bejan. R. Badii and A. Politi. Shape and Structure, from Engineering to Nature . Complexity: Hierarchical structures and scaling in physics . Cambridge Univ. Press, Cambridge, UK, 2000. Cambridge University Press, Cambridge, UK, 1997. P . Bennett and P . Harvey. P . Bak. Active and resting metabolism in birds—allometry, phylogeny and ecology. Frame 3/20 Frame 4/20 How Nature Works: the Science of Self-Organized Criticality . J. Zool. , 213:327–363, 1987. Springer-Verlag, New York, 1996.

  2. References III References References IV References B. J. L. Berry. References S. Bornholdt and H. G. Schuster, editors. References Déjà vu, Mr. Krugman. Urban Geography , 20:1–2, 1999. pdf ( ⊞ ) Handbook of Graphs and Networks . Wiley-VCH, Berlin, 2003. L. M. A. Bettencourt, J. Lobo, D. Helbing, Kühnhert, and G. B. West. R. L. Breiger. Growth, innovation, scaling, and the pace of life in cities. Proc. Natl. Acad. Sci. , 104(17):7301–7306, 2007. pdf ( ⊞ ) The duality of persons and groups. Social Forces , 53(2):181–190, 1974. S. Bikhchandani, D. Hirshleifer, and I. Welch. S. Brody. A theory of fads, fashion, custom, and cultural change as informational cascades. Bioenergetics and Growth . J. Polit. Econ. , 100:992–1026, 1992. Reinhold, New York, 1945. S. Bikhchandani, D. Hirshleifer, and I. Welch. reprint, . Learning from the behavior of others: Conformity, fads, and informational cascades. J. Carlson and J. Doyle. J. Econ. Perspect. , 12(3):151–170, 1998. pdf ( ⊞ ) Highly optimized tolerance: A mechanism for power laws in design systems. Phys. Rev. Lett. , 60(2):1412–1427, 1999. pdf ( ⊞ ) P . M. Blau and J. E. Schwartz. Crosscutting Social Circles . J. Carlson and J. Doyle. Academic Press, Orlando, FL, 1984. Highly optimized tolerance: Robustness and design in complex systems. K. L. Blaxter, editor. Phys. Rev. Lett. , 84(11):2529–2532, 2000. pdf ( ⊞ ) Energy Metabolism; Proceedings of the 3rd symposium held at Troon, Scotland, May 1964 . E. Castronova. Academic Press, New York, 1965. Synthetic Worlds: The Business and Culture of Online Games . J. J. Blum. University of Chicago Press, Chicago, IL, 2005. On the geometry of four-dimensions and the relationship between metabolism and body mass. I. D. Chase, C. Tovey, D. Spangler-Martin, and M. Manfredonia. J. Theor. Biol. , 64:599–601, 1977. Individual differences versus social dynamics in the formation of animal dominance hierarchies. N. Boccara. Proc. Natl. Acad. Sci. , 99(8):5744–5749, 2002. pdf ( ⊞ ) Modeling Complex Systems . Frame 5/20 Frame 6/20 Springer-Verlag, New York, 2004. References V References References VI References R. B. Cialdini. P . S. Dodds and D. J. Watts. Influence: Science and Practice . References References A generalized model of social and biological contagion. Allyn and Bacon, Boston, MA, 4th edition, 2000. J. Theor. Biol. , 232:587–604, 2005. pdf ( ⊞ ) A. Clauset, C. Moore, and M. E. J. Newman. S. Douady and Y. Couder. Structural inference of hierarchies in networks, 2006. pdf ( ⊞ ) Phyllotaxis as a dynamical self organizing process Part I: The spiral modes resulting from time-periodic iterations. A. Clauset, M. Young, and K. S. Gleditsch. J. Theor. Biol. , 178:255–274, 1996. pdf ( ⊞ ) On the Frequency of Severe Terrorist Events. Journal of Conflict Resolution , 51(1):58–87, 2007. pdf ( ⊞ ) S. Douady and Y. Couder. Phyllotaxis as a dynamical self organizing process Part II: The spontaneous formation of a J. S. Coleman. periodicity and the coexistence of spiral and whorled patterns. Foundations of Social Theory . J. Theor. Biol. , 178:275–294, 1996. pdf ( ⊞ ) Belknap Press, Cambridge, MA, 1994. S. Douady and Y. Couder. M. H. DeGroot. Phyllotaxis as a dynamical self organizing process Part III: The simulation of the transient regimes Probability and Statistics . of ontogeny. Addison-Wesley, Reading, Massachusetts, 1975. J. Theor. Biol. , 178:295–312, 1996. pdf ( ⊞ ) P . S. Dodds and D. H. Rothman. R. M. D’Souza, C. Borgs, J. T. Chayes, N. Berger, and R. D. Kleinberg. Scaling, universality, and geomorphology. Emergence of tempered preferential attachment from optimization. Annu. Rev. Earth Planet. Sci. , 28:571–610, 2000. pdf ( ⊞ ) Proc. Natl. Acad. Sci. , 104:6112–6117, 2007. pdf ( ⊞ ) P . S. Dodds, D. H. Rothman, and J. S. Weitz. W. Feller. Re-examination of the “3/4-law” of metabolism. An Introduction to Probability Theory and Its Applications , volume I. Journal of Theoretical Biology , 209(1):9–27, March 2001. John Wiley & Sons, New York, third edition, 1968. . pdf ( ⊞ ) R. Ferrer i Cancho and R. Solé. P . S. Dodds and D. J. Watts. The small world of human language. Universal behavior in a generalized model of contagion. Frame 7/20 Frame 8/20 Proc. R. Soc. Lond. B , 26:2261–2265, 2001. pdf ( ⊞ ) Phys. Rev. Lett. , 92:218701, 2004. pdf ( ⊞ )

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