@article{MT_2024_27_2_a6,
author = {A. V. Nadutkina and A. N. Tikhomirov and D. A. Timushev},
title = {Marchenko{\textendash}Pastur law for the spectrum of a random weighted bipartite graph},
journal = {Matemati\v{c}eskie trudy},
pages = {131--143},
year = {2024},
volume = {27},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_2024_27_2_a6/}
}
TY - JOUR AU - A. V. Nadutkina AU - A. N. Tikhomirov AU - D. A. Timushev TI - Marchenko–Pastur law for the spectrum of a random weighted bipartite graph JO - Matematičeskie trudy PY - 2024 SP - 131 EP - 143 VL - 27 IS - 2 UR - http://geodesic.mathdoc.fr/item/MT_2024_27_2_a6/ LA - ru ID - MT_2024_27_2_a6 ER -
A. V. Nadutkina; A. N. Tikhomirov; D. A. Timushev. Marchenko–Pastur law for the spectrum of a random weighted bipartite graph. Matematičeskie trudy, Tome 27 (2024) no. 2, pp. 131-143. http://geodesic.mathdoc.fr/item/MT_2024_27_2_a6/
[1] Kolaczyk E. D., Statistical Analysis of Network Data, Springer, New York, 2009 | MR
[2] Newman M., Networks: An Introduction, OUP, Oxford, 2010 | MR
[3] Kunegis J., De Luca E. W. and Albayrak S., “The Link Prediction Problem in Bipartite Networks”, Proceedings of the Computational Intelligence for Knowledge-based Systems Design, and 13th International Conference on Information Processing and Management of Uncertainty, 2010, 380-389
[4] Erdős P. and Rényi A., “On Random Graphs I”, Publ. Math. Debrecen, 6 (1959), 290-297 | MR
[5] Pavlopoulos G. A., Kontou P. I., Pavlopoulou A., Bouyioukos C., Markou E., Bagos P. G., “Bipartite graphs in systems biology and medicine: a survey of methods and applications”, GigaScience, 7:4 (2018) | DOI
[6] Tikhomirov A. N., “On the Wigner Law for Generalizided Random Graphs”, Sib. Adv. Math., 31 (2021), 301-308 | DOI | MR
[7] Götze F., Tikhomirov A. N., “The Rate of Convergence of Spectra of Sample Covariance Matrices”, Theory Probab. Appl., 54:1 (2010), 129-140 | DOI | MR
[8] Götze F., Tikhomirov A. N., “Optimal bounds for convergence of expected spectral distributions to the semi-circular law”, Probab. Theory Relat. Fields, 165:1 (2016), 163-233 | DOI | MR