论文标题

关于一些图案的随机矩阵的限制光谱分布和关节收敛

On limiting spectral distribution and joint convergence of some patterned random matrices

论文作者

Maurya, Shambhu Nath

论文摘要

本文介绍了具有独立条目的反向循环器和对称循环矩阵的限制光谱分布和关节收敛。这些结果已经在文章Bose和Sen(2008)\ cite {bose_sen_lsd_ejp}和Bose,Bose,Hazra和Saha(2011)\ Cite {Bose_Saha_Patter_JC_Annals}分别证明。但是本文提供了这些结果的替代证明,这些证据比现有证据要短。我们的方法主要基于力矩方法。

This article deals with the limiting spectral distribution and joint convergence of reverse circulant and symmetric circulant matrices with independent entries. These results are already proved in articles Bose and Sen (2008) \cite{bose_sen_LSD_EJP}, and Bose, Hazra and Saha (2011) \cite{bose_saha_patter_JC_annals}, respectively. But this article provides alternate proofs of these results which are shorter than the existing proofs. Our method is mainly based on moment method.

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