English

Singular continuous spectrum is generic

Spectral Theory 2008-02-03 v1

Abstract

In a variety of contexts, we prove that singular continuous spectrum is generic in the sense that for certain natural complete metric spaces of operators, those with singular spectrum are a dense GδG_\delta.

Keywords

Cite

@article{arxiv.math/9410217,
  title  = {Singular continuous spectrum is generic},
  author = {Rafael del Rio and Svetlana Ya. Jitomirskaya and Nikolai G. Makarov and Barry Simon},
  journal= {arXiv preprint arXiv:math/9410217},
  year   = {2008}
}

Comments

5 pages