Random Sturm Liouville Operators
Spectral Theory
2009-10-02 v1 Functional Analysis
Abstract
Selfadjoint Sturm-Liouville operators on with random potentials are considered and it is proven, using positivity conditions, that for almost every the operator does not share eigenvalues with a broad family of random operators and in particular with operators generated in the same way as but in where .
Cite
@article{arxiv.0910.0057,
title = {Random Sturm Liouville Operators},
author = {Rafael del Rio},
journal= {arXiv preprint arXiv:0910.0057},
year = {2009}
}