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Marchenko–Pastur Law for Spectra of Random Weighted Bipartite Graphs

  • A. V. Nadutkina,
  • A. N. Tikhomirov,
  • D. A. Timushev

摘要

Abstract

We study the spectra of random weighted bipartite graphs. We establish that, underspecific assumptions on the edge probabilities, the symmetrized empirical spectral distributionfunction of the graph’s adjacency matrix converges to the symmetrized Marchenko-Pasturdistribution function.