A note on one-dimensional Poincaré inequalities by Stein-type integration
Author:
Affiliation:
1. Université libre de Bruxelles, Département de Mathématique, Campus Plaine, Boulevard du Triomphe CP210, B-1050 Brussels
Publisher
Bernoulli Society for Mathematical Statistics and Probability
Subject
Statistics and Probability
Reference34 articles.
1. Bakry, D., Barthe, F., Cattiaux, P. and Guillin, A. (2008). A simple proof of the Poincaré inequality for a large class of probability measures including the log-concave case. Electron. Commun. Probab. 13 60–66. 10.1214/ECP.v13-1352
2. Bakry, D., Gentil, I. and Ledoux, M. (2014). Analysis and Geometry of Markov Diffusion Operators. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] 348. Cham: Springer. 10.1007/978-3-319-00227-9
3. Bakry, D., Cattiaux, P. and Guillin, A. (2008). Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. J. Funct. Anal. 254 727–759. 10.1016/j.jfa.2007.11.002
4. Bonnefont, M., Joulin, A. and Ma, Y. (2016). A note on spectral gap and weighted Poincaré inequalities for some one-dimensional diffusions. ESAIM Probab. Stat. 20 18–29. 10.1051/ps/2015019
5. Chen, M.-F. and Wang, F.-Y. (1997). Estimation of spectral gap for elliptic operators. Trans. Amer. Math. Soc. 349 1239–1267. 10.1090/S0002-9947-97-01812-6
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