一维准晶谱理论中的Gordon型论点
Gordon-type arguments in the spectral theory of one-dimensional quasicrystals
摘要：
本文综述了一维离散薛定谔算子的谱理论的最新进展，其中薛定谔算子的势是由代换和圆映射产生的。我们讨论如何发生的局部重复结构允许广义本征函数的估计。在最近的应用程序中，这种一般的方法是几乎肯定和统一的结果，没有本征值以及连续性的谱措施方面的Hausdorff措施。
英文摘要：
We review the recent developments in the spectral theory of discrete one-dimensional Schrödinger operators with potentials generated by substitutions and circle maps. We discuss how occurrences of local repetitive structures allow for estimates of generalized eigenfunctions. Among the recent applications of this general approach are almost sure and uniform results on the absence of eigenvalues as well as continuity of the spectral measures with respect to Hausdorff measures.
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。
