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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| Date: | 2025 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2025
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| Subjects: | |
| 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| Summary: | 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 for coefficients $\{n_{k,m}\}_{k,m=1}^\infty$ is obtained.
Mathematical Subject Classification 2020: 15B52 |
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