论文标题
将奇异迹线应用于晶体和渗透
An Application of Singular Traces to Crystals and Percolation
论文作者
论文摘要
对于某种类别的离散度量空间，我们为状态密度提供了一个公式。该公式涉及二敏痕迹，并使用运算符理论的最新进展被证明。给出了该公式所包含的度量空间的各种示例，包括晶体，准晶体和由$ \ Mathbb {z}^d $上的超临界键渗透导致的无限群集。
For a certain class of discrete metric spaces, we provide a formula for the density of states. This formula involves Dixmier traces and is proven using recent advances in operator theory. Various examples are given of metric spaces for which this formula holds, including crystals, quasicrystals and the infinite cluster resulting from super-critical bond percolation on $\mathbb{Z}^d$.
