- Tytuł:
- The asymptotic trace norm of random circulants and the graph energy
- Autorzy:
- Koshkin, Sergiy
- Powiązania:
- https://bibliotekanauki.pl/articles/729702.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
random matrix
graph energy
matrix energy
circulant
Toeplitz matrix
band matrix
Dirichlet kernel
non-uniform Berry-Esseen estimate
Talagrand concentration inequality - Opis:
- We compute the expected normalized trace norm (matrix/graph energy) of random symmetric band circulant matrices and graphs in the limit of large sizes, and obtain explicit bounds on the rate of convergence to the limit, and on the probabilities of large deviations. We also show that random symmetric band Toeplitz matrices have the same limit norm assuming that their band widths remain small relative to their sizes. We compare the limit norms across a range of related random matrix and graph ensembles.
- Źródło:
-
Discussiones Mathematicae Probability and Statistics; 2016, 36, 1-2; 67-92
1509-9423 - Pojawia się w:
- Discussiones Mathematicae Probability and Statistics
- Dostawca treści:
- Biblioteka Nauki
Artykuł