Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphs
Aizenman, Michael ; Warzel, Simone
arXiv, 0504084 / Harvested from arXiv
Text on arXiv
We consider radial tree extensions of one-dimensional quasi-periodic Schroedinger operators and establish the stability of their absolutely continuous spectra under weak but extensive perturbations by a random potential. The sufficiency criterion for that is the existence of Bloch-Floquet states for the one dimensional operator corresponding to the radial problem.
Publié le : 2005-04-29
Classification:  Mathematical Physics,  Condensed Matter - Disordered Systems and Neural Networks,  47B80, 37E10 
@article{0504084,
     author = {Aizenman, Michael and Warzel, Simone},
     title = {Persistence under Weak Disorder of AC Spectra of Quasi-Periodic
  Schroedinger operators on Trees Graphs},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504084}
}

Aizenman, Michael; Warzel, Simone. Persistence under Weak Disorder of AC Spectra of Quasi-Periodic
  Schroedinger operators on Trees Graphs. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504084/