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

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

2005-10-18

arxiv.org/abs/math-ph/0510069v1

Quantum Graphs and Their Applications, (Proceedings AMS-IMA-SIAM Joint Res. Conf., Snowbird 2005). G. Berkolaiko, R.Carlson, S

Physics

Mathematical Physics

The article covers talks given at UAB Int. Conf. on Diff. Eq. and Math. Phys., Birmingham, March 2005 (RS and SW), and at AMS

Scientific paper

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.

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