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SUMMARY:Google matrix of social and brain networks - Dima Shepelyansky\, N
 ational Center for Scientific Research (CNRS)\, Toulouse\, France
DTSTART:20120917T100000Z
DTEND:20120917T110000Z
UID:TALK40444@talks.cam.ac.uk
CONTACT:Mikail Rubinov
DESCRIPTION: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\, Twi
 tter\, Ulam networks of dynamical maps and other systems. New spectral pro
 perties of such matrices are established including the fractal Weyl law an
 d localization or delocalization of eigenstates. The main eigenvectors of 
 PageRank and CheiRank allow to obtain two-dimensional ranking of nodes wit
 h possible applications to two-dimensional search engines and world trade 
 network. Applications to model brain networks are discussed.\n
LOCATION:BCNI seminar room\, Sir William Hardy Building\, Downing Site
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