From dimension free concentration to the Poincaré inequality

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Cite
Gozlan, Nathael, et al. “From Dimension Free Concentration to the Poincaré Inequality”. Calculus of Variations and Partial Differential Equations, vol. 52, no. 3-4, 2014, pp. 899-25, https://doi.org/10.1007/s00526-014-0737-6.
Gozlan, N., Roberto, C., & Samson, P.-M. (2014). From dimension free concentration to the Poincaré inequality. Calculus of Variations and Partial Differential Equations, 52(3-4), 899-925. https://doi.org/10.1007/s00526-014-0737-6
Gozlan, Nathael, Cyril Roberto, and Paul-Marie Samson. “From Dimension Free Concentration to the Poincaré Inequality”. Calculus of Variations and Partial Differential Equations 52, no. 3-4 (2014): 899-925. https://doi.org/10.1007/s00526-014-0737-6.
Gozlan N, Roberto C, Samson PM. From dimension free concentration to the Poincaré inequality. Calculus of Variations and Partial Differential Equations. 2014;52(3-4):899-925.
Refrences
Title Journal Journal Categories Citations Publication Date
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below Inventiones mathematicae
  • Science: Mathematics
210 2014
10.4171/RMI/772 2014
10.1214/12-AOP757 The Annals of Probability
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2013
From log Sobolev to Talagrand: A quick proof Discrete & Continuous Dynamical Systems 10 2013
Concentration, Ricci Curvature, and Eigenvalues of Laplacian Geometric and Functional Analysis
  • Science: Mathematics
16 2013
Citations
Title Journal Journal Categories Citations Publication Date
On dimension-dependent concentration for convex Lipschitz functions in product spaces Electronic Journal of Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2023
Functional Inequalities for Two-Level Concentration

Potential Analysis
  • Science: Mathematics
2021
ON THE CONVERGENCE RATE OF POTENTIALS OF BRENIER MAPS

Econometric Theory
  • Science: Mathematics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Social Sciences: Economic theory. Demography: Economics as a science
  • Social Sciences: Statistics
  • Social Sciences: Commerce: Business
  • Social Sciences: Economic theory. Demography: Economics as a science
2021
Bounds on the Poincaré constant for convolution measures Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2020
On the convex Poincaré inequality and weak transportation inequalities Bernoulli
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
1 2019
Citations Analysis
The category Science: Mathematics 6 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Multiple Sets Exponential Concentration and Higher Order Eigenvalues and was published in 2018. The most recent citation comes from a 2023 study titled On dimension-dependent concentration for convex Lipschitz functions in product spaces. This article reached its peak citation in 2021, with 2 citations. It has been cited in 5 different journals. Among related journals, the Potential Analysis 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