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Spectra of random stochastic matrices and relaxation in complex systems
2015
Europhysics letters
We compute spectra of large stochastic matrices W, defined on sparse random graphs, where edges (i,j) of the graph are given positive random weights W_ij>0 in such a fashion that column sums are normalized to one. We compute spectra of such matrices both in the thermodynamic limit, and for single large instances. The structure of the graphs and the distribution of the non-zero edge weights W_ij are largely arbitrary, as long as the mean vertex degree remains finite in the thermodynamic limit
doi:10.1209/0295-5075/109/60003
fatcat:qffsdvwbenewnkkkrftcytgyke