A nine-language PageRank analysis of 237 philosophers shows culturally variable but Western-dominated rankings, and reduced-matrix analysis of 21 Presocratics surfaces hidden links, one later confirmed as a direct Wikipedia hyperlink.
Reduced Google matrix
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abstract
Using parallels with the quantum scattering theory, developed for processes in nuclear and mesoscopic physics and quantum chaos, we construct a reduced Google matrix $G_R$ which describes the properties and interactions of a certain subset of selected nodes belonging to a much larger directed network. The matrix $G_R$ takes into account effective interactions between subset nodes by all their indirect links via the whole network. We argue that this approach gives new possibilities to analyze effective interactions in a group of nodes embedded in a large directed networks. Possible efficient numerical methods for the practical computation of $G_R$ are also described.
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The most influential philosophers in Wikipedia: a multicultural analysis
A nine-language PageRank analysis of 237 philosophers shows culturally variable but Western-dominated rankings, and reduced-matrix analysis of 21 Presocratics surfaces hidden links, one later confirmed as a direct Wikipedia hyperlink.