In a recent article in Europhysics Letters, authored by N. Perra, V. Zlatic, A. Chessa, C. Conti, D. Donato and G. Caldarelli an equation for the page-rank in the WWW and in several other kinds of networks has been derived. The equation strongly resembles other famous ones in physics, like the Schroedinger or the Helmotz equations, and it enables to make fascinating connections between theoretical physics and the science of scale-free networks. The arXiv version of this paper has been formerly commented in the New Scientist issue of August 2008.
The picture shows a localized solution of the Page Rank equation, corresponding to the formation of an HUB node.
