基于涨落的树上随机算符绝对连续谱稳定性证明
数学物理
2008-09-29 v1 math.MP
摘要
我们总结了近期关于树上随机算符的绝对连续谱在无序下稳定性的工作。所涵盖的情形包括：具有随机势的薛定谔算符、具有随机化边长的树的量子图算符，以及受随机势扰动的径向拟周期算符。
引用
@article{arxiv.math-ph/0510069,
title = {Fluctuation based proof of the stability of ac spectra of random operators on tree graphs},
author = {Michael Aizenman and Robert Sims and Simone Warzel},
journal= {arXiv preprint arXiv:math-ph/0510069},
year = {2008}
}
备注
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)