English

Limit-Periodic Schr\"odinger Operators With Lipschitz Continuous IDS

Spectral Theory 2019-02-25 v1

Abstract

We show that there exist limit-periodic Schr\"odinger operators such that the associated integrated density of states is Lipschitz continuous. These operators arise in the inverse spectral theoretic KAM approach of P\"oschel.

Keywords

Cite

@article{arxiv.1801.01867,
  title  = {Limit-Periodic Schr\"odinger Operators With Lipschitz Continuous IDS},
  author = {David Damanik and Jake Fillman},
  journal= {arXiv preprint arXiv:1801.01867},
  year   = {2019}
}

Comments

10 pages

R2 v1 2026-06-22T23:37:41.594Z