Native ultrametricity of sparse random ensembles
V. Avetisov 1, 2 P. L. Krapivsky 3 S. Nechaev 4, 5 Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2016, 49, pp.035101 We investigate the eigenvalue density in ensembles of large sparse Bernoulli random matrices. We demonstrate that the fraction of linear subgraphs just below the percolation threshold is about 95\% of all […]
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