随机加权双方形图谱的马琴科-帕斯图尔定律

Siberian Advances in Mathematics Pub Date : 2024-05-31 DOI:10.1134/s1055134424020056

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

引用次数: 0

摘要

摘要我们研究了随机加权双方形图的谱。我们证明，在边概率的特定假设下，图的邻接矩阵的对称经验谱分布函数会收敛到对称的马琴科-帕斯图分布函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Marchenko–Pastur Law for Spectra of Random Weighted Bipartite Graphs

Abstract

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

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.