弱无序区几乎必然谱的扩展
Expansion of the almost sure spectrum in the weak disorder regime
摘要：
随机遍历薛定谔型算子的谱几乎必然是实直线的确定子集。随机算子可以看作是周期算子的扰动。一旦通过全局耦合常数开启无序，光谱就会扩展。我们估计了$\ell^2(\mathbb Z^d)$上的操作员在其底部的频谱扩展了多少。
英文摘要：
The spectrum of random ergodic Schrödinger-type operators is almost surely a deterministic subset of the real line. The random operator can be considered as a perturbation of a periodic one. As soon as the disorder is switched on via a global coupling constant, the spectrum expands. We estimate how much the spectrum expands at its bottom for operators on $\ell^2(\mathbb Z^d)$.
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。
