Delone dynamical systems and spectral convergence
Delone dynamical systems and spectral convergence
复制标题
Delone 动力系统和谱收敛
DOI：
--
复制
发表时间：
2017
影响因子：
0.9
通讯作者：
Felix Pogorzelski
中科院分区：
文献类型：
--
作者：
Siegfried Beckus;Felix Pogorzelski
在局部紧第二可数Hausdorff群中的Delone集合领域，我们发展了一种动态系统方法来研究由点集产生的可测量量的连续性行为。特别关注的是自相关，以及随机有界算子的状态密度。证明了对于唯一遍历极限系统，后者对壳的Chabauty-Fell收敛具有连续性。在欧几里得空间的特殊情况下，我们的结果补充了最近将光谱描述为拓扑极限的研究进展：我们表明，所考虑的测量量可以通过周期类似物来近似。
In the realm of Delone sets in locally compact, second countable Hausdorff groups, we develop a dynamical systems approach in order to study the continuity behavior of measured quantities arising from point sets. A special focus is both on the autocorrelation, as well as on the density of states for random bounded operators. It is shown that for uniquely ergodic limit systems, the latter measures behave continuously with respect to the Chabauty–Fell convergence of hulls. In the special situation of Euclidean spaces, our results complement recent developments in describing spectra as topological limits: we show that the measured quantities under consideration can be approximated via periodic analogs.
三维海森堡群闭子群的 Chabauty 空间
影响因子：
0.6
作者：
Bridson M
通讯作者：
Bridson M