有限子集外曲率为非负的图形、谐函数和端点数

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-11-19 DOI:10.1112/jlms.70034

Bobo Hua, Florentin Münch

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引用次数: 0

摘要

我们研究的是有限子集外具有非负巴克里-埃梅里曲率或奥利维尔曲率的图形。对于这样的图，通过引入离散格罗莫夫-豪斯多夫收敛，我们证明了有界谐函数空间是有限维的，并且作为推论，非抛物线末端的数量也是有限的。

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Graphs with nonnegative curvature outside a finite subset, harmonic functions, and number of ends

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 nonparabolic ends is finite.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.