Thouless formula for random non-Hermitian Jacobi matrices
| dc.creator | Goldsheid, Ilya Ya | |
| dc.creator | Khoruzhenko, Boris A | |
| dc.date | 2003-12-09 | |
| dc.date.accessioned | 2026-07-07T06:25:59Z | |
| dc.date.available | 2026-07-07T06:25:59Z | |
| dc.description | Random non-Hermitian Jacobi matrices $J_n$ of increasing dimension $n$ are considered. We prove that the normalized eigenvalue counting measure of $J_n$ converges weakly to a limiting measure $μ$ as $n\to\infty$. We also extend to the non-Hermitian case the Thouless formula relating $μ$ and the Lyapunov exponent of the second-order difference equation associated with the sequence $J_n$. The measure $μ$ is shown to be log-Hölder continuous. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0312022 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0312022 | |
| dc.identifier | Israel Journal of Mathematics, Vol. 148, 331-346 (2005) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96985 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B44 | |
| dc.title | Thouless formula for random non-Hermitian Jacobi matrices | |
| dc.type | text |