@article{AIHPB_2005__41_4_753_0,
author = {Harg\'e, Gilles},
title = {Characterization of equality in the correlation inequality for convex functions, the $U$-conjecture},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {753--765},
year = {2005},
publisher = {Elsevier},
volume = {41},
number = {4},
doi = {10.1016/j.anihpb.2004.05.005},
mrnumber = {2144232},
zbl = {1070.60018},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpb.2004.05.005/}
}
TY - JOUR AU - Hargé, Gilles TI - Characterization of equality in the correlation inequality for convex functions, the $U$-conjecture JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2005 SP - 753 EP - 765 VL - 41 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpb.2004.05.005/ DO - 10.1016/j.anihpb.2004.05.005 LA - en ID - AIHPB_2005__41_4_753_0 ER -
%0 Journal Article %A Hargé, Gilles %T Characterization of equality in the correlation inequality for convex functions, the $U$-conjecture %J Annales de l'I.H.P. Probabilités et statistiques %D 2005 %P 753-765 %V 41 %N 4 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpb.2004.05.005/ %R 10.1016/j.anihpb.2004.05.005 %G en %F AIHPB_2005__41_4_753_0
Hargé, Gilles. Characterization of equality in the correlation inequality for convex functions, the $U$-conjecture. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 4, pp. 753-765. doi: 10.1016/j.anihpb.2004.05.005
[1] , L'hypercontractivité et son utilisation en théorie des semi-groupes, in: Ecole d'été de probabilités de Saint-Flour XXII-1992, Lecture Notes in Math., vol. 1581, 1994, pp. 1-114. | Zbl | MR
[2] D. Bakry, Functional inequalities for Markov semigroups, preprint. | MR
[3] , , Sur les inégalités F.K.G., in: Séminaire de Probabilités XXVI, Lecture Notes in Math., vol. 1526, 1992, pp. 170-188. | Zbl | MR | Numdam
[4] , A generalized Poincaré inequality for Gaussian measures, Proc. Amer. Math. Soc. 105 (1989) 397-400. | Zbl | MR
[5] S.K. Bhandari, A. Basu, On the unlinking conjecture of independent polynomial functions, preprint. | MR
[6] , , Unlinking theorem for symmetric convex functions, in: Multivariate Analysis and its Applications, IMS Lecture Notes - Monograph Series, vol. 24, 1994. | MR
[7] , A particular case of correlation inequality for the Gaussian measure, Ann. Probab. 27 (4) (1999) 1939-1951. | Zbl | MR
[8] , Inequalities for the Gaussian measure and an application to Wiener space, C. R. Acad. Sci., Série 1 333 (2001) 791-794. | Zbl | MR
[9] , , , Interpolation, correlation identities, and inequalities for infinely divisible variables, J. Fourier Anal. Appl. 4 6 (1998) 651-668. | Zbl | MR
[10] , Itô-Wiener chaos expansion with exact residual and correlation, variance inequalities, J. Theoret. Probab. 10 (1997) 835-848. | Zbl | MR
[11] , , , Characterization Problems in Mathematical Statistics, Wiley, New York, 1973. | Zbl | MR
[12] , L'algèbre de Lie des gradients itérés d'un générateur Markovien - Développements de moyennes et entropies, Ann. Sci. Ecole Norm. Sup. (4) 28 (1995) 435-460. | Zbl | MR | Numdam
[13] , Concentration of measure end logarithmic Sobolev inequalities, in: Séminaire Proba. XXXIII, Lecture Notes in Math., vol. 1709, Springer-Verlag, 1999, pp. 120-216. | Zbl | MR | Numdam
[14] , The geometry of Markov diffusion generators, Ann. Fac. Sci. Toulouse 9 (2000) 305-366. | Zbl | MR | Numdam
[15] , Note sur les processus d'Ornstein-Uhlenbeck, in: Séminaire Proba. XVI, Lecture Notes in Math., vol. 920, Springer-Verlag, 1982. | Zbl | MR | Numdam
[16] , A guide to the stochastic calculus of variations, in: Stochastic Analysis and Related Topics, Lecture Notes in Math., vol. 1316, Springer-Verlag, 1986. | Zbl | MR
[17] , A gaussian correlation inequality for symetric convex sets, Ann. Probab. 5 (1977) 470-474. | Zbl | MR
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