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Classes will begin shortly. During the course. Network Types (Small World, Scale Free, Random) Network Models ( Erdos-Renyi , Scale-Free, Hierarchical Networks, Duplication Divergence)
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During the course Network Types(Small World, Scale Free, Random) Network Models(Erdos-Renyi, Scale-Free, Hierarchical Networks, Duplication Divergence) Network Properties(Degree, Degree Distribution, Clustering, Degree Correlations, Rich Club Phenomena, Average Path Length, Diameter, Community Structure etc…) Dynamical Properties(Failure and attack tolerance, epidemic thresholds, etc..) Social Systems Team assembly and the invisible college, the dynamics of social ties and groups Biological Systems Molecular Networks (PPI, Metabolic), Disease Networks. We discovered that it was a bit too much for only seven sessions
Production Function GDP per capita Labor, Land, Capital, Technological Sophistication Robinson, J. (1953) The production function and the theory of capital, Review of Economic Studies, vol XXI, 1953, pp. 81-106
Designer Programmer Hardware Knowledge Mechanic Webpage Fashionable Electronic Southern California Rich people toys
CA Hidalgo, B Klinger, A-L Barabasi, R Hausmann.Science (2007)
d(a,b)=F(Ca,b,Na,Nb,N) corr(a,b)=(Ca,bN-NaNb)/sqrt((N-Na) (N-Nb) NbNb) M.I.(a,b)=H(b)+H(a)-H(a,b) R.R.(a,b)= Ca,bN/NaNb Proximity(a,b)= min(Ca,b/Na, Ca,b/Nb)
Product Product
Threshold = 0.55 Number of Links = 1525 Threshold = 0.5 Number of Links = 2850 Threshold = 0.6 Number of Links = 1026 Threshold = 0.7 Number of Links = 829
Threshold = 0.55 Number of Links = 1525
CA Hidalgo, B Klinger, A-L Barabasi, R Hausmann.Science (2007)
China 1975 1985 2000
Low density of Monkeys around this tree High density of Monkeys around this tree 1985
Countries are more likely to jump towards products that are close by CA Hidalgo, B Klinger, A-L Barabasi, R Hausmann.Science (2007)
Malaysia 1990 Chile 1990 High Densityin Chile Low Densityin Malaysia High Densityin Malaysia Low DensityChile
Malaysia 2000 Chile 2000 Exported by Chile Not exported by Malaysia Exported by Malaysia Not Exported By Chile
H=Average Density in Countries that transitioned into the Product / Average Density in Countries that did not transition into the product
Society Products
Johann Döbereiner John Newlands Dimitri Mendeleev Alexandrede Chancourtois
How good is your neighborhood? CA Hidalgo, B Klinger, A-L Barabasi, R Hausmann.Science (2007)
First economic quantification Saa E=-SaSaalog(Saa) Country A H=SaS2aa Country B D=SaSaa F(Saa) Country B
Quantifying Economic Complexity Maa = 1 if country a exports product a 1006 product categories 132 countries
Method of Reflections Product p1 Degree (Countries) Degree (Products) k=2 Country C1 k=3 Product p2 k=2 Country C2 k=4 k=1 Product p3 k=1 Country C3 k=3 Product p4 Diversification Ubiquity
Method of Reflections k1= Standardness: Average ubiquity of products exported by a country Mirror k=2 Product p1 k1,1=7/3 Country C1 Country C1 k=2 Product p2 k2,1=2 Country C2 k=1 Country C2 Product p3 k3,1=3 Country C3 k=3 Country C3 Product p4
Method of Reflections k1= Complexity: Average diversification of a products’ exporters k1,1=7/2 Product p1 Product p1 k=3 Country C1 k2,1=7/2 Product p2 Product p2 k=4 Country C2 k3,1=4 Product p3 Product p3 k=1 Country C3 k4,1=1 Product p4 Product p4
Method of Reflections Country Variables Product Variables k0 k1 k2 k3 k4 k0 k1 k2 k3 k4