Google matrix
نویسندگان
چکیده
منابع مشابه
Google matrix of Twitter
We construct the Google matrix of the entire Twitter network, dated by July 2009, and analyze its spectrum and eigenstate properties including the PageRank and CheiRank vectors and 2DRanking of all nodes. Our studies show much stronger inter-connectivity between top PageRank nodes for the Twitter network compared to the networks of Wikipedia and British Universities studied previously. Our anal...
متن کاملGoogle matrix of Bitcoin network
We construct and study the Google matrix of Bitcoin transactions during the time period from the very beginning in 2009 till April 2013. The Bitcoin network has up to a few millions of bitcoin users and we present its main characteristics including the PageRank and CheiRank probability distributions, the spectrum of eigenvalues of Google matrix and related eigenvectors. We find that the spectru...
متن کاملTowards Google matrix of brain
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 G is constructed on the basis of neuronal network of a brain model discussed in PNAS 105, 3593 (2008). We show that the spectrum of eigenvalues of G has a gapless structure with long living relaxation modes. The PageRank of the network bec...
متن کاملAnderson transition for Google matrix eigenstates
We introduce a number of random matrix models describing the Google matrix G of directed networks. The properties of their spectra and eigenstates are analyzed by numerical matrix diagonalization. We show that for certain models it is possible to have an algebraic decay of PageRank vector with the exponent similar to real directed networks. At the same time the spectrum has no spectral gap and ...
متن کاملGoogle matrix analysis of directed networks
In the past decade modern societies have developed enormous communication and social networks. Their classification and information retrieval processing has become a formidable task for the society. Due to the rapid growth of the World Wide Web, and social and communication networks, new mathematical methods have been invented to characterize the properties of these networks in a more detailed ...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2016
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.30944