论文标题
有限子集外，谐波功能和末端数的图形图
Graphs with nonnegative curvature outside a finite subset, harmonic functions and number of ends
论文作者
论文摘要
我们研究了有限子集外部的非负面贝克里 - Émerymery曲率曲率或圆润曲率的图。对于这样的图，通过引入离散的gromov-hausdorff收敛，我们证明有限的谐波函数的空间是有限的尺寸，而作为推论，非撒尿末端的数量是有限的。
We study graphs with nonnegative Bakry-Émery curvature or Ollivier curvature outside a finite subset. For such a graph, via introducing the discrete Gromov-Hausdorff convergence we prove that the space of bounded harmonic functions is finite dimensional, and as a corollary the number of non-parabolic ends is finite.
