Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphs

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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.
Dedicated to Ya. Sinai on the occasion of his seventieth birthday

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Mathematical Physics, Disordered Systems and Neural Networks, 47B80, 37E10

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http://salesiana.dossiersoluciones.com/handle/123456789/100800

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0504084
 http://arxiv.org/abs/math-ph/0504084
 Moscow Math. Jour., vol. 5, no. 3 (2005), 499-506

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