Boundary Area Growth and the Spectrum of Discrete Laplacian
Boundary Area Growth and the Spectrum of Discrete Laplacian
复制标题
边界面积增长和离散拉普拉斯谱
DOI：
10.1023/a:1024733021533
复制
发表时间：
2003
影响因子：
0.7
通讯作者：
Y. Higuchi
中科院分区：
文献类型：
--
作者：
Y. Higuchi
对于无限图，我们引入边界面积增长作为一个新的量。利用这一点，我们给出了与转移算子密切相关的离散拉普拉斯算子谱的下界。文中还给出了应用实例。
We introduce the boundary area growth as a new quantity for an infinite graph. Using this, we give some upper bounds for the bottom of the spectrum of the discrete Laplacian which relates closely to the transition operator. We also give some applications and examples.