图上曲率维数不等式的若干等价性质

Yong Lin; Shuang Liu

图上曲率维数不等式的若干等价性质

Yong Lin, Shuang Liu

Renmin University of China

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

We study some equivalent properties of the curvature dimension inequality CD(n,K) on locally finite graphs. These equivalences are gradient estimate, Poincaré type inequalities and reverse Poincaré inequalities. We also obtain one equivalent property of gradient estimate for a new notion of curvature dimension inequality CDE (∞,K) at the same assumption on graphs.

投稿的翻译标题	Equivalent Properties of CD Inequalities on Graphs
源语言	繁体中文
页（从-至）	431-440
页数	10
期刊	Acta Mathematica Sinica, Chinese Series
卷	61
期	3
出版状态	已出版 - 1 5月 2018
已对外发布	是

关键词

Curvature dimension inequality
Heat kernel
Semigroup

其它文件与链接

链接到 Scopus 的出版物

引用此

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N2 - We study some equivalent properties of the curvature dimension inequality CD(n,K) on locally finite graphs. These equivalences are gradient estimate, Poincaré type inequalities and reverse Poincaré inequalities. We also obtain one equivalent property of gradient estimate for a new notion of curvature dimension inequality CDE (∞,K) at the same assumption on graphs.

AB - We study some equivalent properties of the curvature dimension inequality CD(n,K) on locally finite graphs. These equivalences are gradient estimate, Poincaré type inequalities and reverse Poincaré inequalities. We also obtain one equivalent property of gradient estimate for a new notion of curvature dimension inequality CDE (∞,K) at the same assumption on graphs.

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KW - Heat kernel

KW - Semigroup

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图上曲率维数不等式的若干等价性质

摘要

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引用此