Abstract
We prove sufficient conditions involving only potential asymptotic near one of the infinities in order to have purely absolutely continuous components in the spectrum. These deterministic results are then applied to random cases and exhibit classes of models for which, with probability one, one component of the spectrum is purely absolutely continuous and the rest is dense pure point with exponentially decaying eigenfunctions.
Original language | English (US) |
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Pages (from-to) | 229-258 |
Number of pages | 30 |
Journal | Journal of Functional Analysis |
Volume | 51 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1983 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis