Stochastic matrix representing links between entities
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Fig.1. Google matrix of Wikipedia articles network, written in the bases of PageRank index; fragment of top 200 X 200 matrix elements is shown, total size N=3282257 (from [1])
A Google matrix is a particular stochastic matrix that is used by Google's PageRank algorithm. The matrix represents a graph with edges representing links between pages. The PageRank of each page can then be generated iteratively from the Google matrix using the power method. However, in order for the power method to converge, the matrix must be stochastic, irreducible and aperiodic.
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Ermann, L.; Chepelianskii, A. D.; Shepelyansky, D. L. (2011). "Towards two-dimensional search engines". Journal of Physics A. 45 (27): 275101. arXiv:1106.6215. Bibcode:2012JPhA...45A5101E. doi:10.1088/1751-8113/45/27/275101. S2CID 14827486.
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