Li–Yau inequality on finite graphs via non-linear curvature dimension conditions

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Münch, Florentin. “Li–Yau Inequality on Finite Graphs via Non-Linear Curvature Dimension Conditions”. Journal De Mathématiques Pures Et Appliquées, vol. 120, 2018, pp. 130-64, https://doi.org/10.1016/j.matpur.2018.10.006.
Münch, F. (2018). Li–Yau inequality on finite graphs via non-linear curvature dimension conditions. Journal De Mathématiques Pures Et Appliquées, 120, 130-164. https://doi.org/10.1016/j.matpur.2018.10.006
Münch F. Li–Yau inequality on finite graphs via non-linear curvature dimension conditions. Journal de Mathématiques Pures et Appliquées. 2018;120:130-64.
Refrences
Title Journal Journal Categories Citations Publication Date
Remarks on Li–Yau inequality on graphs Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
6 2017
Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds The Annals of Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2015
Harnack inequalities for graphs with non-negative Ricci curvature Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
31 2014
Ollivier’s Ricci Curvature, Local Clustering and Curvature-Dimension Inequalities on Graphs Discrete & Computational Geometry
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
96 2014
Ollivier–Ricci curvature and the spectrum of the normalized graph Laplace operator Mathematical Research Letters
  • Science: Mathematics
2012
Refrences Analysis
The category Science: Mathematics 10 is the most frequently represented among the references in this article. It primarily includes studies from Mathematical Research Letters The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
The CDp Curvature Condition on a Graph Frontiers of Mathematics
  • Science: Mathematics
2024
ψ-Li-Yau inequality for the p-Laplacian on weighted graphs with the CDpψ(m,0) curvature Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Aronson–Bénilan and Harnack estimates for the discrete porous medium equation Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Geometric functionals for the p-Laplace operator on the graph Journal of Functional Analysis
  • Science: Mathematics
2023
Multiple solutions for a generalized Chern-Simons equation on graphs Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
5 2023
Citations Analysis
The category Science: Mathematics 20 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Curvature-dimension inequalities for non-local operators in the discrete setting and was published in 2019. The most recent citation comes from a 2024 study titled The CDp Curvature Condition on a Graph. This article reached its peak citation in 2023, with 5 citations. It has been cited in 16 different journals, 6% of which are open access. Among related journals, the Journal of Mathematical Analysis and Applications cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year