Asymptotics of Correlators of Sparse Bipartite Random Graphs

We study asymptotic behavior of the correlation functions of bipartite sparse weighted random $N\times N$ matrices. It is shown that the main term of the correlation function of $k$-th and $m$-th moments of the integrated density of states is $N^{-1}n_{k,m}$. The closed system of recurrent relations...

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Bibliographic Details
Date:2025
Main Author: Vengerovsky, Valentin
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2025
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1117
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry