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A Unified Theory of Complex Systems. Review Slides from BAST meeting ( PPT. A surprisingly consistent view on the fundamental nature of complex systems can now be drawn from the convergence of three distinct research themes:. A new mathematical framework. For the study of complex networks suggests that this apparent network-level evolutionary convergence both within biology and between biology and technology is not accidental, and follows necessarily from the requirements that both biology and technology...

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A Unified Theory of Complex Systems. Review Slides from BAST meeting ( PPT. A surprisingly consistent view on the fundamental nature of complex systems can now be drawn from the convergence of three distinct research themes:. A new mathematical framework. For the study of complex networks suggests that this apparent network-level evolutionary convergence both within biology and between biology and technology is not accidental, and follows necessarily from the requirements that both biology and technology...

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https://hot.caltech.edu

A Unified Theory of Complex Systems. Review Slides from BAST meeting ( PPT. A surprisingly consistent view on the fundamental nature of complex systems can now be drawn from the convergence of three distinct research themes:. A new mathematical framework. For the study of complex networks suggests that this apparent network-level evolutionary convergence both within biology and between biology and technology is not accidental, and follows necessarily from the requirements that both biology and technology...

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hot.caltech.edu

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Robust Yet Fragile

http://www.hot.caltech.edu/ryf.html

Emergent vs Organized Complexity. Explain the difference, links to popular emergent websites. Links to papers with direct critiques or comparisons, usually about HOT. Probably add something on irreducible complexity at some point.

2

HOT

http://www.hot.caltech.edu/hot.html

HOT has several potential benefits as a view of organized complexity. It seems to offer a novel way of teaching concepts and mathematics of organized complexity to a much broader audience while deferring the high level of domain detail currently necessary to understand the model systems from biological or technological networks. Some papers on HOT:. Mutation, Specialization, and Hypersensitivity in Highly Optimized Tolerance. T Zhou, J. M. Carlson and J. Doyle. J M Carlson and J. Doyle. Additional papers...

3

Technology

http://www.hot.caltech.edu/tech.html

Robustness and the Internet. Rate control in communication networks: shadow prices, proportional fairness and stability. F P Kelly, A.K. Maulloo and D. K. H. Tan,. Journal of the Operational Research Society. Optimization Flow Control, I: Basic Algorithm and Convergence. S H Low and D. E. Lapsley. IEEE/ACM Transactions on Networking. 6):861-75, Dec. 1999. A Duality Model of TCP and Queue Management Algorithms. IEEE/ACM Transactions on Networking. 4):525-536, August 2003. 1): 43-56, February 2005. C Jin, ...

4

Biology

http://www.hot.caltech.edu/bio.html

SBML (Systems Biology Markup Language). Some papers on biology:. Bow Ties, Metabolism, and Disease. M E Csete and J. C. Doyle. In Trends in Biotechnology. Robustness of Cellular Functions. J Stelling, U. Sauer, Z. Szallasi, F. J. Doyle III, and J. Doyle. Reverse Engineering of Biological Complexity. M E Csete and J. C. Doyle. Robust Perfect Adaptation in Bacterial Chemotaxis through Integral Feedback Control. T-M Yi, Y. Huang, M. I. Simon, J. Doyle. In Proceedings of the National Academy of Science.

5

Mathematics

http://www.hot.caltech.edu/math.html

Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization. PhD Thesis. Caltech. 2000. Semidefinite Programming Relaxations for Semialgebraic Problems. In Mathematical Programming Ser. B. An explicit construction of distinguished representations of polynomials nonnegative over finite sets. IfA Technical Report AUT02-02, March 2002. PA Parrilo, B. Sturmfels,. In Algorithmic and quantitative real algebraic geometry. K Gatermann, P.A. Parrilo,. Vol 49, No. 2, 2004.

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A Unified Theory of Complex Systems. Review Slides from BAST meeting ( PPT. A surprisingly consistent view on the fundamental nature of complex systems can now be drawn from the convergence of three distinct research themes:. A new mathematical framework. For the study of complex networks suggests that this apparent network-level evolutionary convergence both within biology and between biology and technology is not accidental, and follows necessarily from the requirements that both biology and technology...

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