Power Laws: Difference between revisions

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==Slides ==
==Slides ==


* [http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/IntroCxtyFrgty.pptx  Feb 16: Introduction to Complexity and Fragility: NPP and Mandelbrot set examples ]
*[http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/Inference213.pptx  Inference ]
* [http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/1_IntroCxtyFrgty.pptx  Feb 18: Introduction to Complexity and Fragility: part two ]
*[http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/InternetGraphsPathways.pptx  Internet Graphs  ]
* [http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/2_NME_LatDesign.pptx  Feb 18: Complexity and Fragility: Lattices 1 ]
*[http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PowerLaws213.pptx  Power Laws ]
* [http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/4_NME_LatRandom.pptx Feb 18: Complexity and Fragility: Lattices 2 ]
*[http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PowerLawsMiscErrors.pptx  Power Laws Errors ]
* [http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/3_NME_LPtoNPP.pptx  Feb 18: Complexity and Fragility: NPP ]


==Reading==
==Reading==
*[http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/logFinalCDC2006_X.pdf  Complexity in Automation of SOS Proofs: An Illustrative Example, Gayme et al.]
 
*[http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/mandel2.pdf <i>Optimization Based Methods for Determining Basins of Attraction in the Logistic Map and Set Membership in the Mandelbrot Set</i>, Gayme et al. ]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/AMS-willinger.pdf  Mathematics and the Internet: A Source of Enormous Confusion and Great Potential  Willinger, Alderson, Doyle ]
*[http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/DenniceConnections2006.pdf Studying the Logistic Map and the Mandelbrot Set Using SOS Methods, Gayme, Fazel, Doyle]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ClausetEtAlEmpiricalPareto.pdf  Power Law Distributions in Empirical Data Clauset et al.]
*[http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/AldersonDoyle-SMCA.pdf Contrasting Views of Complexity and Their Implications For Network-Centric Infrastructures, Alderson, Doyle ]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ExponentiallJofStatEducV9N1Elfessi.mht Statistics I ]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/FinalHOTFirePNAS.pdf Wildfires, complexity, and highly optimized tolerance, Moritz, et al. ]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/IntMatchOnlineSupplement.pdf The s(g)-Metric and Assortativity, Li, Alderson, Doyle, Willinger]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/IntMathOnlineFinal.pdf Towards a Theory of Scale-Free Graphs: Definition, Properties, and Implications, Li, Alderson, Doyle, Willinger]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/Li-etal-inetmath-2006-colorfigs.pdf Towards a Theory of Scale-Free Graphs: Definition, Properties, and Implications (short version)]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/PNAS_Internet.pdf The ‘‘robust yet fragile’’ nature of the Internet, Doyle et al. ]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults.pdf  The Magnitude Distribution of Earthquakes near Southern California Faults Page, Alderson, Doyle]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/UniformJofStatEducV6N3Rossman.mht  Statistics II]
* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/WLSPareto.pdf  The Estimation of Pareto Distribution by a Weighted Least Square Method, Lu and Tao]

Latest revision as of 22:50, 1 March 2010