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

نویسنده

  • Michael Aizenman
چکیده

The talk will summarize recent works on the stability under disorder of the absolutely continuous spectra of random operators on tree graphs. The cases covered include: Schroedinger operators with random potential, quantum graph operators for trees with randomized edge lengths, and Schroedinger operators with radial quasi-periodic potentials. The results were derived jointly with R. Sims and S. Warzel.

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تاریخ انتشار 2005