Wigner random matrices with non-symmetrically distributed entries
| dc.creator | Peche, Sandrine | |
| dc.creator | Soshnikov, Alexander | |
| dc.date | 2007-02-01 | |
| dc.date | 2007-04-06 | |
| dc.date.accessioned | 2026-07-07T07:55:24Z | |
| dc.date.available | 2026-07-07T07:55:24Z | |
| dc.description | We show that the spectral radius of an $N\times N$ random symmetric matrix with i.i.d. bounded centered but non-symmetrically distributed entries is bounded from above by $ 2 \*σ+ o(N^{-6/11+ε}), $ where $σ^2 $ is the variance of the matrix entries and $ε$ is an arbitrary small positive number. Our bound improves the earlier results by Z.Füredi and J.Komlós (1981), and the recent bound obtained by Van Vu (2005). | |
| dc.description | to appear in the Special Issue on Random Matrices of the Journal of Statistical Physics | |
| dc.identifier | https://arxiv.org/abs/math/0702035 | |
| dc.identifier | http://arxiv.org/abs/math/0702035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126955 | |
| dc.subject | Probability | |
| dc.subject | Combinatorics | |
| dc.title | Wigner random matrices with non-symmetrically distributed entries | |
| dc.type | text |