Abstract
We consider the 1d Schrödinger operators with random decaying potentials in the sub-critical case where the spectrum is pure point. We show that the point process composed of the rescaled eigenvalues in the bulk, together with those zero points of the corresponding eigenfunctions, converges to a Poisson process.
Original language | English |
---|---|
Article number | 69 |
Journal | Electronic Journal of Probability |
Volume | 22 |
DOIs | |
Publication status | Published - 2017 |
Externally published | Yes |
Keywords
- Poisson statistics
- Random Schrödinger operators
- Sine beta process
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty