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arXiv math-ph/0510069math-phmath.MP
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树图上随机算子ac谱稳定性的涨落证明

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

Michael Aizenman, Robert Sims, Simone Warzel

摘要:

本文综述了最近关于树图上随机算子的绝对连续谱在无序下的稳定性。所涉案件包括:具有随机势的薛定谔算子,具有随机边长的树的量子图算子,以及受随机势扰动的径向准周期算子。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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