https://doyle.caltech.edu/index.php?action=history&feed=atom&title=Power_Laws 2026-06-28T16:32:02Z Revision history for this page on the wiki MediaWiki 1.44.2 https://doyle.caltech.edu/index.php?title=Power_Laws&diff=3186&oldid=prev 2010-03-01T22:50:32Z

<p><span class="autocomment">Reading</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:50, 1 March 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l20">Line 20:</td> <td colspan="2" class="diff-lineno">Line 20:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults.pdf  The Magnitude Distribution of Earthquakes near Southern California Faults Page, Alderson, Doyle]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults.pdf  The Magnitude Distribution of Earthquakes near Southern California Faults Page, Alderson, Doyle]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/UniformJofStatEducV6N3Rossman.mht  Statistics II]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/UniformJofStatEducV6N3Rossman.mht  Statistics II]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [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]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [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]</div></td></tr> <!-- diff cache key acs_math_mw_144-doyle_:diff:1.41:old-3185:rev-3186:php=table --> </table>

Vanessa https://doyle.caltech.edu/index.php?title=Power_Laws&diff=3185&oldid=prev 2010-03-01T22:50:23Z

<p><span class="autocomment">Reading</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:50, 1 March 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12">Line 12:</td> <td colspan="2" class="diff-lineno">Line 12:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [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 ]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [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 ]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ClausetEtAlEmpiricalPareto.pdf  Power Law Distributions in Empirical Data Clauset et al.]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ClausetEtAlEmpiricalPareto.pdf  Power Law Distributions in Empirical Data Clauset et al.]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ ExponentiallJofStatEducV9N1Elfessi.mht Statistics I ]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ExponentiallJofStatEducV9N1Elfessi.mht Statistics I ]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/FinalHOTFirePNAS.pdf Wildfires, complexity, and highly optimized tolerance, Moritz, et al.  ]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/FinalHOTFirePNAS.pdf Wildfires, complexity, and highly optimized tolerance, Moritz, et al.  ]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/IntMatchOnlineSupplement.pdf  The s(g)-Metric and Assortativity, Li, Alderson, Doyle, Willinger]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/IntMatchOnlineSupplement.pdf  The s(g)-Metric and Assortativity, Li, Alderson, Doyle, Willinger]</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19">Line 19:</td> <td colspan="2" class="diff-lineno">Line 19:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/PNAS_Internet.pdf The ‘‘robust yet fragile’’ nature of the Internet, Doyle et al. ]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/PNAS_Internet.pdf The ‘‘robust yet fragile’’ nature of the Internet, Doyle et al. ]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults.pdf  The Magnitude Distribution of Earthquakes near Southern California Faults Page, Alderson, Doyle]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults.pdf  The Magnitude Distribution of Earthquakes near Southern California Faults Page, Alderson, Doyle]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ UniformJofStatEducV6N3Rossman.mht  Statistics II]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/UniformJofStatEducV6N3Rossman.mht  Statistics II]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [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]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [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]</div></td></tr> <!-- diff cache key acs_math_mw_144-doyle_:diff:1.41:old-3184:rev-3185:php=table --> </table>

Vanessa https://doyle.caltech.edu/index.php?title=Power_Laws&diff=3184&oldid=prev 2010-03-01T22:50:11Z

<p><span class="autocomment">Reading</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:50, 1 March 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l20">Line 20:</td> <td colspan="2" class="diff-lineno">Line 20:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults.pdf  The Magnitude Distribution of Earthquakes near Southern California Faults Page, Alderson, Doyle]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults.pdf  The Magnitude Distribution of Earthquakes near Southern California Faults Page, Alderson, Doyle]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ UniformJofStatEducV6N3Rossman.mht  Statistics II]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ UniformJofStatEducV6N3Rossman.mht  Statistics II]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ WLSPareto.pdf  The Estimation of Pareto Distribution</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [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]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>by a Weighted Least Square Method, Lu and Tao]</div></td><td colspan="2" class="diff-side-added"></td></tr> <!-- diff cache key acs_math_mw_144-doyle_:diff:1.41:old-3183:rev-3184:php=table --> </table>

Vanessa https://doyle.caltech.edu/index.php?title=Power_Laws&diff=3183&oldid=prev 2010-03-01T22:49:55Z

<p><span class="autocomment">Reading</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:49, 1 March 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12">Line 12:</td> <td colspan="2" class="diff-lineno">Line 12:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [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 ]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [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 ]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ClausetEtAlEmpiricalPareto.pdf  Power Law Distributions in Empirical Data Clauset et al.]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ClausetEtAlEmpiricalPareto.pdf  Power Law Distributions in Empirical Data Clauset et al.]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ ExponentiallJofStatEducV9N1Elfessi.mht <del style="font-weight: bold; text-decoration: none;">paper4 </del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ ExponentiallJofStatEducV9N1Elfessi.mht <ins style="font-weight: bold; text-decoration: none;">Statistics I </ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/FinalHOTFirePNAS.pdf <del style="font-weight: bold; text-decoration: none;">paper5 </del> ]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/FinalHOTFirePNAS.pdf <ins style="font-weight: bold; text-decoration: none;">Wildfires, complexity, and highly optimized tolerance, Moritz, et al. </ins> ]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/IntMatchOnlineSupplement.pdf  <del style="font-weight: bold; text-decoration: none;">paper6</del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/IntMatchOnlineSupplement.pdf  <ins style="font-weight: bold; text-decoration: none;">The s(g)-Metric and Assortativity, Li, Alderson, Doyle, Willinger</ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/IntMathOnlineFinal.pdf <del style="font-weight: bold; text-decoration: none;">paper7</del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/IntMathOnlineFinal.pdf <ins style="font-weight: bold; text-decoration: none;">Towards a Theory of Scale-Free Graphs: Definition, Properties, and Implications, Li, Alderson, Doyle, Willinger</ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/Li-etal-inetmath-2006-colorfigs.pdf  <del style="font-weight: bold; text-decoration: none;">paper8</del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/Li-etal-inetmath-2006-colorfigs.pdf  <ins style="font-weight: bold; text-decoration: none;">Towards a Theory of Scale-Free Graphs: Definition, Properties, and Implications (short version)</ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/PNAS_Internet.pdf <del style="font-weight: bold; text-decoration: none;">paper9 </del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/PNAS_Internet.pdf <ins style="font-weight: bold; text-decoration: none;">The ‘‘robust yet fragile’’ nature of the Internet, Doyle et al. </ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults.pdf  <del style="font-weight: bold; text-decoration: none;">paper10</del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults.pdf  <ins style="font-weight: bold; text-decoration: none;">The Magnitude Distribution of Earthquakes near Southern California Faults Page, Alderson, Doyle</ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ UniformJofStatEducV6N3Rossman.mht  <del style="font-weight: bold; text-decoration: none;">paper11</del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ UniformJofStatEducV6N3Rossman.mht  <ins style="font-weight: bold; text-decoration: none;">Statistics II</ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ WLSPareto.pdf  <del style="font-weight: bold; text-decoration: none;">paper4</del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ WLSPareto.pdf  <ins style="font-weight: bold; text-decoration: none;">The Estimation of Pareto Distribution</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">by a Weighted Least Square Method, Lu and Tao</ins>]</div></td></tr> <!-- diff cache key acs_math_mw_144-doyle_:diff:1.41:old-3171:rev-3183:php=table --> </table>

Vanessa https://doyle.caltech.edu/index.php?title=Power_Laws&diff=3171&oldid=prev 2010-03-01T22:26:21Z

<p><span class="autocomment">Slides</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:26, 1 March 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Slides ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Slides ==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/<del style="font-weight: bold; text-decoration: none;">PapersReading/AMS-willinger</del>.<del style="font-weight: bold; text-decoration: none;">pdf  Mathematics and the</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*[http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/<ins style="font-weight: bold; text-decoration: none;">Inference213</ins>.<ins style="font-weight: bold; text-decoration: none;">pptx </ins> <ins style="font-weight: bold; text-decoration: none;">Inference </ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Internet: A Source of Enormous Confusion and Great Potential </del> <del style="font-weight: bold; text-decoration: none;">Willinger, Alderson, Doyle </del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*[http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/<ins style="font-weight: bold; text-decoration: none;">InternetGraphsPathways</ins>.<ins style="font-weight: bold; text-decoration: none;">pptx </ins> <ins style="font-weight: bold; text-decoration: none;">Internet Graphs </ins> ]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/<del style="font-weight: bold; text-decoration: none;">PapersReading/ClausetEtAlEmpiricalPareto</del>.<del style="font-weight: bold; text-decoration: none;">pdf </del> <del style="font-weight: bold; text-decoration: none;">Power Law Distributions in Empirical Data Clauset et al.]</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*[http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/<ins style="font-weight: bold; text-decoration: none;">PowerLaws213</ins>.<ins style="font-weight: bold; text-decoration: none;">pptx </ins> <ins style="font-weight: bold; text-decoration: none;">Power Laws </ins> ]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ ExponentiallJofStatEducV9N1Elfessi.mht paper4 ]</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*[http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/<ins style="font-weight: bold; text-decoration: none;">PowerLawsMiscErrors</ins>.<ins style="font-weight: bold; text-decoration: none;">pptx </ins> <ins style="font-weight: bold; text-decoration: none;">Power Laws Errors </ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/FinalHOTFirePNAS.pdf paper5 </del> ]</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/<del style="font-weight: bold; text-decoration: none;">PapersReading/IntMatchOnlineSupplement</del>.<del style="font-weight: bold; text-decoration: none;">pdf </del> <del style="font-weight: bold; text-decoration: none;">paper6]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/IntMathOnlineFinal.pdf paper7]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/Li-etal-inetmath-2006-colorfigs.pdf </del> <del style="font-weight: bold; text-decoration: none;">paper8]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/PNAS_Internet.pdf paper9 </del>]</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/<del style="font-weight: bold; text-decoration: none;">PapersReading/SoCalFaults</del>.<del style="font-weight: bold; text-decoration: none;">pdf </del> <del style="font-weight: bold; text-decoration: none;">paper10]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ UniformJofStatEducV6N3Rossman.mht  paper11]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ WLSPareto.pdf  paper4</del>]</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reading==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reading==</div></td></tr> <!-- diff cache key acs_math_mw_144-doyle_:diff:1.41:old-3170:rev-3171:php=table --> </table>

Vanessa https://doyle.caltech.edu/index.php?title=Power_Laws&diff=3170&oldid=prev 2010-03-01T22:24:17Z

<p><span class="autocomment">Reading</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:24, 1 March 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l18">Line 18:</td> <td colspan="2" class="diff-lineno">Line 18:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reading==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reading==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/AMS-willinger.pdf  Mathematics and the</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [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 ]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Internet: A Source of Enormous Confusion and Great Potential  Willinger, Alderson, Doyle ]</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ClausetEtAlEmpiricalPareto.pdf  Power Law Distributions in Empirical Data Clauset et al.]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ClausetEtAlEmpiricalPareto.pdf  Power Law Distributions in Empirical Data Clauset et al.]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ ExponentiallJofStatEducV9N1Elfessi.mht paper4 ]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ ExponentiallJofStatEducV9N1Elfessi.mht paper4 ]</div></td></tr> <!-- diff cache key acs_math_mw_144-doyle_:diff:1.41:old-3169:rev-3170:php=table --> </table>

Vanessa https://doyle.caltech.edu/index.php?title=Power_Laws&diff=3169&oldid=prev 2010-03-01T22:23:56Z

<p><span class="autocomment">Reading</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:23, 1 March 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17">Line 17:</td> <td colspan="2" class="diff-lineno">Line 17:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reading==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reading==</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*[http://www.cds.caltech.edu/~doyle/213/<del style="font-weight: bold; text-decoration: none;">Feb16weekSlidesReading</del>/<del style="font-weight: bold; text-decoration: none;">logFinalCDC2006_X</del>.pdf  <del style="font-weight: bold; text-decoration: none;">Complexity in Automation </del>of <del style="font-weight: bold; text-decoration: none;">SOS Proofs</del>: <del style="font-weight: bold; text-decoration: none;">An Illustrative Example, Gayme </del>et al.]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*[http://www.cds.caltech.edu/~doyle/213/<del style="font-weight: bold; text-decoration: none;">Feb16weekSlidesReading</del>/<del style="font-weight: bold; text-decoration: none;">mandel2</del>.pdf <del style="font-weight: bold; text-decoration: none;">&lt;i&gt;Optimization Based Methods for Determining Basins of Attraction in the Logistic Map and Set Membership in the Mandelbrot Set&lt;</del>/<del style="font-weight: bold; text-decoration: none;">i&gt;, Gayme et al</del>. ]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<ins style="font-weight: bold; text-decoration: none;">Feb23PowerLaws/PapersReading</ins>/<ins style="font-weight: bold; text-decoration: none;">AMS-willinger</ins>.pdf  <ins style="font-weight: bold; text-decoration: none;">Mathematics and the</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*[http://www.cds.caltech.edu/~doyle/213/<del style="font-weight: bold; text-decoration: none;">Feb16weekSlidesReading</del>/<del style="font-weight: bold; text-decoration: none;">DenniceConnections2006</del>.pdf <del style="font-weight: bold; text-decoration: none;">Studying the Logistic Map and the Mandelbrot Set Using SOS Methods, Gayme, Fazel, Doyle</del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Internet: A Source </ins>of <ins style="font-weight: bold; text-decoration: none;">Enormous Confusion and Great Potential  Willinger, Alderson, Doyle ]</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*[http://www.cds.caltech.edu/~doyle/213/<del style="font-weight: bold; text-decoration: none;">Feb16weekSlidesReading</del>/<del style="font-weight: bold; text-decoration: none;">AldersonDoyle</del>-<del style="font-weight: bold; text-decoration: none;">SMCA</del>.pdf <del style="font-weight: bold; text-decoration: none;">Contrasting Views of Complexity and Their Implications For Network-Centric Infrastructures, Alderson, Doyle </del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http</ins>:<ins style="font-weight: bold; text-decoration: none;">//www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ClausetEtAlEmpiricalPareto.pdf  Power Law Distributions in Empirical Data Clauset </ins>et al.]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<ins style="font-weight: bold; text-decoration: none;">Feb23PowerLaws/PapersReading/ ExponentiallJofStatEducV9N1Elfessi.mht paper4 ]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http:/</ins>/<ins style="font-weight: bold; text-decoration: none;">www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/FinalHOTFirePNAS</ins>.pdf <ins style="font-weight: bold; text-decoration: none;">paper5  ]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading</ins>/<ins style="font-weight: bold; text-decoration: none;">IntMatchOnlineSupplement</ins>.<ins style="font-weight: bold; text-decoration: none;">pdf  paper6</ins>]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<ins style="font-weight: bold; text-decoration: none;">Feb23PowerLaws/PapersReading</ins>/<ins style="font-weight: bold; text-decoration: none;">IntMathOnlineFinal</ins>.pdf <ins style="font-weight: bold; text-decoration: none;">paper7</ins>]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<ins style="font-weight: bold; text-decoration: none;">Feb23PowerLaws/PapersReading</ins>/<ins style="font-weight: bold; text-decoration: none;">Li-etal-inetmath-2006</ins>-<ins style="font-weight: bold; text-decoration: none;">colorfigs.pdf  paper8]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/PNAS_Internet.pdf paper9 ]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults</ins>.pdf <ins style="font-weight: bold; text-decoration: none;"> paper10]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ UniformJofStatEducV6N3Rossman.mht  paper11]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http://www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ WLSPareto.pdf  paper4</ins>]</div></td></tr> <!-- diff cache key acs_math_mw_144-doyle_:diff:1.41:old-3168:rev-3169:php=table --> </table>

Vanessa https://doyle.caltech.edu/index.php?title=Power_Laws&diff=3168&oldid=prev 2010-03-01T22:23:38Z

<p><span class="autocomment">Slides</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:23, 1 March 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Slides ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Slides ==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<del style="font-weight: bold; text-decoration: none;">Feb16weekSlidesReading</del>/<del style="font-weight: bold; text-decoration: none;">IntroCxtyFrgty</del>.<del style="font-weight: bold; text-decoration: none;">pptx </del> <del style="font-weight: bold; text-decoration: none;">Feb 16: Introduction to Complexity </del>and <del style="font-weight: bold; text-decoration: none;">Fragility</del>: <del style="font-weight: bold; text-decoration: none;">NPP </del>and <del style="font-weight: bold; text-decoration: none;">Mandelbrot set examples </del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<ins style="font-weight: bold; text-decoration: none;">Feb23PowerLaws</ins>/<ins style="font-weight: bold; text-decoration: none;">PapersReading/AMS-willinger</ins>.<ins style="font-weight: bold; text-decoration: none;">pdf </ins> <ins style="font-weight: bold; text-decoration: none;">Mathematics </ins>and <ins style="font-weight: bold; text-decoration: none;">the</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<del style="font-weight: bold; text-decoration: none;">Feb16weekSlidesReading</del>/<del style="font-weight: bold; text-decoration: none;">1_IntroCxtyFrgty</del>.<del style="font-weight: bold; text-decoration: none;">pptx </del> <del style="font-weight: bold; text-decoration: none;">Feb 18</del>: <del style="font-weight: bold; text-decoration: none;">Introduction to Complexity and Fragility</del>: <del style="font-weight: bold; text-decoration: none;">part two </del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Internet</ins>: <ins style="font-weight: bold; text-decoration: none;">A Source of Enormous Confusion </ins>and <ins style="font-weight: bold; text-decoration: none;">Great Potential  Willinger, Alderson, Doyle </ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<del style="font-weight: bold; text-decoration: none;">Feb16weekSlidesReading</del>/<del style="font-weight: bold; text-decoration: none;">2_NME_LatDesign</del>.<del style="font-weight: bold; text-decoration: none;">pptx </del> <del style="font-weight: bold; text-decoration: none;">Feb 18</del>: <del style="font-weight: bold; text-decoration: none;">Complexity and Fragility: Lattices 1 </del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<ins style="font-weight: bold; text-decoration: none;">Feb23PowerLaws/PapersReading</ins>/<ins style="font-weight: bold; text-decoration: none;">ClausetEtAlEmpiricalPareto</ins>.<ins style="font-weight: bold; text-decoration: none;">pdf </ins> <ins style="font-weight: bold; text-decoration: none;">Power Law Distributions in Empirical Data Clauset et al.]</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<del style="font-weight: bold; text-decoration: none;">Feb16weekSlidesReading</del>/<del style="font-weight: bold; text-decoration: none;">4_NME_LatRandom</del>.<del style="font-weight: bold; text-decoration: none;">pptx </del> <del style="font-weight: bold; text-decoration: none;">Feb 18</del>: <del style="font-weight: bold; text-decoration: none;">Complexity and Fragility</del>: <del style="font-weight: bold; text-decoration: none;">Lattices 2 </del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http</ins>:<ins style="font-weight: bold; text-decoration: none;">//www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ ExponentiallJofStatEducV9N1Elfessi.mht paper4 ]</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<del style="font-weight: bold; text-decoration: none;">Feb16weekSlidesReading</del>/<del style="font-weight: bold; text-decoration: none;">3_NME_LPtoNPP</del>.<del style="font-weight: bold; text-decoration: none;">pptx </del> <del style="font-weight: bold; text-decoration: none;">Feb 18</del>: <del style="font-weight: bold; text-decoration: none;">Complexity and Fragility: NPP </del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http</ins>:<ins style="font-weight: bold; text-decoration: none;">//www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/FinalHOTFirePNAS.pdf paper5  </ins>]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<ins style="font-weight: bold; text-decoration: none;">Feb23PowerLaws/PapersReading</ins>/<ins style="font-weight: bold; text-decoration: none;">IntMatchOnlineSupplement</ins>.<ins style="font-weight: bold; text-decoration: none;">pdf </ins> <ins style="font-weight: bold; text-decoration: none;">paper6]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http</ins>:<ins style="font-weight: bold; text-decoration: none;">//www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/IntMathOnlineFinal.pdf paper7</ins>]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<ins style="font-weight: bold; text-decoration: none;">Feb23PowerLaws</ins>/<ins style="font-weight: bold; text-decoration: none;">PapersReading/Li-etal-inetmath-2006-colorfigs</ins>.<ins style="font-weight: bold; text-decoration: none;">pdf </ins> <ins style="font-weight: bold; text-decoration: none;">paper8]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http</ins>:<ins style="font-weight: bold; text-decoration: none;">//www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/PNAS_Internet.pdf paper9 ]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http</ins>:<ins style="font-weight: bold; text-decoration: none;">//www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/SoCalFaults.pdf  paper10</ins>]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.cds.caltech.edu/~doyle/213/<ins style="font-weight: bold; text-decoration: none;">Feb23PowerLaws</ins>/<ins style="font-weight: bold; text-decoration: none;">PapersReading/ UniformJofStatEducV6N3Rossman</ins>.<ins style="font-weight: bold; text-decoration: none;">mht </ins> <ins style="font-weight: bold; text-decoration: none;">paper11]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [http</ins>:<ins style="font-weight: bold; text-decoration: none;">//www.cds.caltech.edu/~doyle/213/Feb23PowerLaws/PapersReading/ WLSPareto.pdf  paper4</ins>]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reading==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Reading==</div></td></tr> <!-- diff cache key acs_math_mw_144-doyle_:diff:1.41:old-3167:rev-3168:php=table --> </table>

Vanessa https://doyle.caltech.edu/index.php?title=Power_Laws&diff=3167&oldid=prev 2010-03-01T22:14:13Z

<p></p> <p><b>New page</b></p><div>==Topics==<br /> <br /> ==Slides ==<br /> <br /> * [http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/IntroCxtyFrgty.pptx Feb 16: Introduction to Complexity and Fragility: NPP and Mandelbrot set examples ]<br /> * [http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/1_IntroCxtyFrgty.pptx Feb 18: Introduction to Complexity and Fragility: part two ]<br /> * [http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/2_NME_LatDesign.pptx Feb 18: Complexity and Fragility: Lattices 1 ]<br /> * [http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/4_NME_LatRandom.pptx Feb 18: Complexity and Fragility: Lattices 2 ]<br /> * [http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/3_NME_LPtoNPP.pptx Feb 18: Complexity and Fragility: NPP ]<br /> <br /> ==Reading==<br /> *[http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/logFinalCDC2006_X.pdf Complexity in Automation of SOS Proofs: An Illustrative Example, Gayme et al.]<br /> *[http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/mandel2.pdf &lt;i&gt;Optimization Based Methods for Determining Basins of Attraction in the Logistic Map and Set Membership in the Mandelbrot Set&lt;/i&gt;, Gayme et al. ]<br /> *[http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/DenniceConnections2006.pdf Studying the Logistic Map and the Mandelbrot Set Using SOS Methods, Gayme, Fazel, Doyle]<br /> *[http://www.cds.caltech.edu/~doyle/213/Feb16weekSlidesReading/AldersonDoyle-SMCA.pdf Contrasting Views of Complexity and Their Implications For Network-Centric Infrastructures, Alderson, Doyle ]</div>

Vanessa