Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-02-24
Phys. Lett. A v.374, p.3206-3209 (2010)
Physics
Condensed Matter
Disordered Systems and Neural Networks
revtex 5 pages, 7 figs, data added, research at http://www.quantware.ups-tlse.fr
Scientific paper
10.1016/j.physleta.2010.06.007
We apply the approach of the Google matrix, used in computer science and World Wide Web, to description of properties of neuronal networks. The Google matrix ${\bf G}$ is constructed on the basis of neuronal network of a brain model discussed in PNAS {\bf 105}, 3593 (2008). We show that the spectrum of eigenvalues of ${\bf G}$ has a gapless structure with long living relaxation modes. The PageRank of the network becomes delocalized for certain values of the Google damping factor $\alpha$. The properties of other eigenstates are also analyzed. We discuss further parallels and similarities between the World Wide Web and neuronal networks.
Shepelyansky Dima L.
Zhirov Oleg V.
No associations
LandOfFree
Towards Google matrix of brain does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Towards Google matrix of brain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards Google matrix of brain will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-260989