Asymptotics of Correlators of Sparse Bipartite Random Graphs
Анотація
Досліджено асимптотику кореляційних функцій дводольних розбавлених зважених випадкових $N\times N$ матриць. Показано, що основний член кореляційної функції $k$-го та $m$-го моментів інтегральної щільності станів дорівнює $N^{-1}n_{k,m}$. Одержано замкнуту систему рекурентних співвідношень для коефіцієнтів $\{n_{k,m}\}_{k,m=1}^\infty$.
Mathematical Subject Classification 2020: 15B52
Ключові слова:
дводольний розбавлений випадковий граф, корелятор моментів, асимптотика, основний член, система рекурентних рівняньПосилання
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