广义Wigner矩阵的极限谱分布
The limiting spectral distribution of the generalized Wigner matrix
摘要:
高维随机矩阵特征值的性质一直受到人们的关注。一个重要的成果是Wigner矩阵特征值的经验谱分布的极限谱分布的存在性和识别。本文研究了更一般的随机矩阵的极限谱分布,并进一步给出了它在一般随机图的能量上的应用,推广了Nikiforov的结果.
英文摘要:
The properties of eigenvalues of large dimensional random matrices have received considerable attention. One important achievement is the existence and identification of the limiting spectral distribution of the empirical spectral distribution of eigenvalues of Wigner matrix. In the present paper, we explore the limiting spectral distribution for more general random matrices, and, furthermore, give an application to the energy of general random graphs, which generalizes the result of Nikiforov.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。