تقرير
Real eigenvalues in the non-Hermitian Anderson model
| العنوان: | Real eigenvalues in the non-Hermitian Anderson model |
|---|---|
| المؤلفون: | Goldsheid, Ilya, Sodin, Sasha |
| المصدر: | Ann. Appl. Probab. 28 (2018), no. 5, 3075--3093 |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Probability, Mathematics - Spectral Theory, 47B80, 47B36 |
| الوصف: | The eigenvalues of the Hatano--Nelson non-Hermitian Anderson matrices, in the spectral regions in which the Lyapunov exponent exceeds the non-Hermiticity parameter, are shown to be real and exponentially close to the Hermitian eigenvalues. This complements previous results, according to which the eigenvalues in the spectral regions in which the non-Hermiticity parameter exceeds the Lyapunov exponent are aligned on curves in the complex plane. Comment: 21 pp., 2 fig; to appear in Ann. Appl. Probab |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1707.02181 |
| رقم الأكسشن: | edsarx.1707.02181 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |