Asymptotics of Correlators of Sparse Bipartite Random Graphs
We study asymptotic behavior of the correlation functions of bipartite sparse weighted random N 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 is obtained.
Authors
- Valentin Vengerovsky
Institutions
- National Academy of Sciences of Ukraine (UA)
- B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine (UA)
Publication Details
- Journal
- Zurnal matematiceskoj fiziki analiza geometrii
- Published
- 2025-09-25
- DOI
- https://doi.org/10.15407/mag21.04.05
- Primary Topic
- Random Matrices and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00