@article{AFST_2005_6_14_3_331_0,
author = {Fran\c{c}ois Bolley and C\'edric Villani},
title = {Weighted {Csisz\'ar-Kullback-Pinsker} inequalities and applications to transportation inequalities},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {331--352},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 14},
number = {3},
year = {2005},
zbl = {1087.60008},
mrnumber = {2172583},
language = {en},
url = {https://afst.centre-mersenne.org/item/AFST_2005_6_14_3_331_0/}
}
TY - JOUR AU - François Bolley AU - Cédric Villani TI - Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2005 SP - 331 EP - 352 VL - 14 IS - 3 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_2005_6_14_3_331_0/ LA - en ID - AFST_2005_6_14_3_331_0 ER -
%0 Journal Article %A François Bolley %A Cédric Villani %T Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2005 %P 331-352 %V 14 %N 3 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_2005_6_14_3_331_0/ %G en %F AFST_2005_6_14_3_331_0
François Bolley; Cédric Villani. Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 14 (2005) no. 3, pp. 331-352. https://afst.centre-mersenne.org/item/AFST_2005_6_14_3_331_0/
[1] - The Gaussian isoperimetric inequality and transportation , Unpublished preprint (2000). | MR | Zbl
[2] , , - Hypercontractivity of Hamilton-Jacobi equations, J. Math. Pures Appl. 80, 7, p. 669-696 (2001). | Zbl | MR
[3] , - Exponential integrability and transportation cost related to logarithmic Sobolev inequalities, J. Funct. Anal. 163, p. 1-28 (1999). | Zbl | MR
[4] , - A criterion for Talagrand's quadratic transportation cost, Preprint (2003). Available at http://arxiv.org/abs/math.PR/ 0312081
[5] , , - Transportation cost-information inequalities for random dynamical systems and diffusions , Ann. Probab., 32, 3B, p. 2702-2732 (2004). | Zbl | MR
[6] - The concentration of measure phenomenon, vol. 89 of Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI (2001). | Zbl | MR
[7] - Bounding @DO>d@FO>-distance by information divergence: a method to prove measure concentration, Ann. Probab. 24, p. 857-866 (1996). | Zbl | MR
[8] , - Generalization of an inequality by Talagrand, and links with the logarithmic Sobolev inequality, J. Funct. Anal. 173, p. 361-400 (2000). | Zbl | MR
[9] - Probability metrics and the stability of stochastic models, John Wiley & Sons Ltd., Chichester (1991). | Zbl | MR
[10] - Transportation cost for Gaussian and other product measures, Geom. Funct. Anal. 6, 3, p. 587-600 (1996). | Zbl | MR
[11] - Topics in optimal transportation , vol. 58 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI (2003). | Zbl | MR