6. Issue № 2

Marchenko-pastur law for the spectrum of a random weighted bipartite graph

Nadutkina Anastasia Vasilievna
1. Institute of Physics and Mathematics, Komi Scientific Center of the Ural Branch of the Russian Academy of Sciences, Syktyvkar, Russia
nadutkina.anastasiya@mail.ru
Tikhomirov Alexander Nikolaevich
Scopus Author ID: 7103304377
1. Institute of Physics and Mathematics, Komi Scientific Center of the Ural Branch of the Russian Academy of Sciences, Syktyvkar, Russia
2. Higher School of Economics University,Moscow, Russia
tikhomirov@ipm.komisс.ru
Timushev Dmitry Anatolyevich
Scopus Author ID: 16204078200
1. Institute of Physics and Mathematics, Komi Scientific Center of the Ural Branch of the Russian Academy of Sciences, Syktyvkar, Russia
timushev@ipm.komisc.ru
The material was received by the Editorial Board: 04.06.2024

This study investigates the spectra of random weighted bipartite graphs. We establish that under specific assumptions on the edge probabilities, the empirical spectral distribution function of the graph's adjacency matrix converges to the symmetrized Marchenko-Pastur distribution function

УДК 519.214+519.177

Marchenko-pastur law for the spectrum of a random weighted bipartite graph
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Keywords: Random matrices, Marchenko-Pastur law, random bipartite graphs

References: Nadutkina A.V., Tikhomirov A.N, Timushev D.A. Marchenko-pastur law for the spectrum of a random weighted bipartite graph. Mat. Trudy. 2024, 27, № 2. P. 131–143. DOI: 10.25205/1560-750X-2024-27-2-131-143