Fluctuation based proof of the stability of ac spectra of random operators on tree graphs

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We summarize recent works on the stability under disorder of the absolutely continuous spectra of random operators on tree graphs. The cases covered include: Schrödinger operators with random potential, quantum graph operators for trees with randomized edge lengths, and radial quasi-periodic operators perturbed by random potentials.
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)

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Mathematical Physics, 82B44; 47B80

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http://salesiana.dossiersoluciones.com/handle/123456789/170129

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0510069
 http://arxiv.org/abs/math-ph/0510069
 Quantum Graphs and Their Applications, (Proceedings AMS-IMA-SIAM Joint Res. Conf., Snowbird 2005). G. Berkolaiko, R.Carlson, S.A. Fulling, and P. Kuchment (eds.). AMS Contemporary Mathematics Series, vol. 415 (AMS, 2006).

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