Self Affine Delone Sets and Deviation Phenomena
Self Affine Delone Sets and Deviation Phenomena
复制标题
自仿射Delone集和偏差现象
DOI：
--
复制
发表时间：
2015
影响因子：
2.4
通讯作者：
Rodrigo Treviño
中科院分区：
文献类型：
--
作者：
S. Schmieding;Rodrigo Treviño
我们研究了来自扩展的、自仿射德龙集的空间平移作用的遍历积分范数的增长。给出自仿射的线性映射在模式空间上诱导出重整化映射，并且我们表明，遍历积分的增长率是由重整化映射对模式空间的上同调直到边界误差的诱导作用控制的。我们探讨了此类 Delone 集的衍射后果，并详细探讨了替代平铺以及自仿射的剪切集和投影集的图片是什么。我们还明确地计算了一些示例。
We study the growth of norms of ergodic integrals for the translation action on spaces coming from expansive, self-affine Delone sets. The linear map giving the self-affinity induces a renormalization map on the pattern space and we show that the rate of growth of ergodic integrals is controlled by the induced action of the renormalizing map on the cohomology of the pattern space up to boundary errors. We explore the consequences for the diffraction of such Delone sets, and explore in detail what the picture is for substitution tilings as well as for cut and project sets which are self-affine. We also explicitly compute some examples.
线性扭矩流产生的分离网络上的等价关系
影响因子：
1.8
作者：
Haynes A
通讯作者：
Haynes A