Michael Aizenman, Simone Warzel
Published 2005-04-29, updated 2006-06-09Version 3
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.
Comments: Dedicated to Ya. Sinai on the occasion of his seventieth birthday
Journal: Moscow Math. Jour., vol. 5, no. 3 (2005), 499-506
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