Fluctuation based proof of the stability of ac spectra of random operators on tree graphs
Mathematical Physics
2008-09-29 v1 math.MP
Abstract
We summarize recent works on the stability under disorder of the absolutely continuous spectra of random operators on tree graphs. The cases covered include: Schr\"odinger operators with random potential, quantum graph operators for trees with randomized edge lengths, and radial quasi-periodic operators perturbed by random potentials.
Keywords
Cite
@article{arxiv.math-ph/0510069,
title = {Fluctuation based proof of the stability of ac spectra of random operators on tree graphs},
author = {Michael Aizenman and Robert Sims and Simone Warzel},
journal= {arXiv preprint arXiv:math-ph/0510069},
year = {2008}
}
Comments
The article covers talks given at UAB Int. Conf. on Diff. Eq. and Math. Phys., Birmingham, March 2005 (RS and SW), and at AMS Snowbird Conference, Utah, June 2005 (MA)