CDE’ Inequality on Graphs with Unbounded Laplacian-Reference-Cited by-同舟云学术

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CDE’ Inequality on Graphs with Unbounded Laplacian

Published:2023-05-03 Issue:9 Volume:11 Page:2138
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Hong Desheng¹^ORCID,Gong Chao¹²

Affiliation:

1. School of Mathematics, Renmin University of China, Beijing 100872, China

2. China Eastern Technology Application Research and Development Center Co., Ltd., Shanghai 201700, China

Abstract

In this paper, we derive the gradient estimates of semigroups in terms of the modified curvature-dimension inequality CDE′ for unbounded Laplacians on complete graphs with non-degenerate measures.

Funder

National Science Foundation of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/9/2138/pdf

Reference17 articles.

1. Diffusions hypercontractives [Hypercontractive diffusions];Bakry;Seminaire de Probabilites XIX, 1983/84,1985

2. Equivalent semigroup properties for curvature-dimension condition;Wang;Bull. Sci. Math.,2011

3. Equivalent properties of CD inequalities on graphs;Lin;Acta Math. Sin. Chin. Ser.,2018

4. Ricci curvature and eigenvalue estimate on locally finite graphs;Lin;Math. Res. Lett.,2010

5. The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains;Weber;J. Funct. Anal.,2021

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