University of Cambridge > Talks.cam > Brain Mapping Unit Networks Meeting and the Cambridge Connectome Consortium > Google matrix of social and brain networks

Google matrix of social and brain networks

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The spectrum and eigenstates of the Google matrix of directed Markov chains, social and brain networks are investigated and discussed. Such matrices appear in social networks, World Wide Web, Wikipedia, Twitter, Ulam networks of dynamical maps and other systems. New spectral properties of such matrices are established including the fractal Weyl law and localization or delocalization of eigenstates. The main eigenvectors of PageRank and CheiRank allow to obtain two-dimensional ranking of nodes with possible applications to two-dimensional search engines and world trade network. Applications to model brain networks are discussed.

This talk is part of the Brain Mapping Unit Networks Meeting and the Cambridge Connectome Consortium series.

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