Absolutely Continuous Spectrum for the Anderson Model on a Tree: A Geometric Proof of Klein’s Theorem
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/content/pdf/10.1007/s00220-006-0120-3.pdf
Reference11 articles.
1. Aizenman M. (1994). Localization at weak disorder: some elementary bounds. Rev. Math. Phys. 6:1163–1182
2. Aizenman M., Molchanov S. (1993). Localization at large disorder and at extreme energies: an elementary derivation. Commun. Math. Phys. 157:245–278
3. Aizenman, M., Sims, R., Warzel, S.: Stability of the Absolutely Continuous Spectrum of Random Schrödinger Operators on Tree Graphs. To appear in Prob. Theor. Rel. Fields 2006, DOI: 10.1007/s00440-005-0486-8, posted 30 December 2005
4. Anderson P.W. (1958). Absence of diffusion in certain random lattices. Phys. Rev. 109:1492–1505
5. Denisov S.A. (2006). On the preservation of absolutely continuous spectrum for Schrodinger operators. J. Funct. Anal. 231:143–156
Cited by 55 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On the Expansion of Resolvents and the Integrated Density of States for Poisson Distributed Schrödinger Operators;Complex Analysis and Operator Theory;2024-07
2. A useful formula for periodic Jacobi matrices on trees;Proceedings of the National Academy of Sciences;2024-05-31
3. Existence of Absolutely Continuous Spectrum for Galton–Watson Random Trees;Communications in Mathematical Physics;2023-09-12
4. Absolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the strip;Letters in Mathematical Physics;2023-01-17
5. Localisation and Delocalisation for a Simple Quantum Wave Guide with Randomness;Annales Henri Poincaré;2022-04-10
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3