@article{SPS_2000__34__329_0, author = {Hu, Yao-Zhong}, title = {A unified approach to several inequalities for gaussian and diffusion measures}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, pages = {329--335}, publisher = {Springer - Lecture Notes in Mathematics}, volume = {34}, year = {2000}, mrnumber = {1768072}, zbl = {0957.60091}, language = {en}, url = {http://archive.numdam.org/item/SPS_2000__34__329_0/} }
TY - JOUR AU - Hu, Yao-Zhong TI - A unified approach to several inequalities for gaussian and diffusion measures JO - Séminaire de probabilités de Strasbourg PY - 2000 SP - 329 EP - 335 VL - 34 PB - Springer - Lecture Notes in Mathematics UR - http://archive.numdam.org/item/SPS_2000__34__329_0/ LA - en ID - SPS_2000__34__329_0 ER -
%0 Journal Article %A Hu, Yao-Zhong %T A unified approach to several inequalities for gaussian and diffusion measures %J Séminaire de probabilités de Strasbourg %D 2000 %P 329-335 %V 34 %I Springer - Lecture Notes in Mathematics %U http://archive.numdam.org/item/SPS_2000__34__329_0/ %G en %F SPS_2000__34__329_0
Hu, Yao-Zhong. A unified approach to several inequalities for gaussian and diffusion measures. Séminaire de probabilités de Strasbourg, Tome 34 (2000), pp. 329-335. http://archive.numdam.org/item/SPS_2000__34__329_0/
[1] Transformations de Riesz pour les semigroupes symétriques. Seconde partie: Etude sous la condition Γ2 ≥ 0, Séminaire de probabilités, XIX, 1983/84,145-174, Lecture Notes in Math., 1123, Springer, Berlin-New York, 1985. | Numdam | MR | Zbl
[2] L'hypercontractivité et son utilisation en théorie des semigroupes. Lectures on probability theory (Saint-Flour, 1992), 1-114, Lecture Notes in Math., 1581, Springer, Berlin, 1994. | MR | Zbl
[3] Diffusions hypercontractives. Séminaire de probabilités, XIX, 1983/84, 177-206, Lecture Notes in Math., 1123, Springer, Berlin-New York, 1985. | Numdam | MR | Zbl
;[4] Lévy-Gromov's isoperimetric inequality for an infinite-dimensional diffusion generator. Invent. math. 123 (1996), 259-281. | MR | Zbl
;[5] Hypercontractivity: a bibliographic review. Ideas and methods in quantum and statistical physics (Oslo, 1988) , 370-389, Cambridge Univ. Press, Cambridge, 1992. | MR | Zbl
; ;[6] On heat kernel logarithmic Sobolev inequalities. Stochastic analysis and applications (Powys, 1995), 189-200, World Sci. Publishing, River Edge, NJ, 1996. | MR | Zbl
; and[7] Probabilités et Potentiel. V. Hermann, Paris, 1992.
; ;[8] Itô-Wiener chaos expansion with exact residual and correlation, variance inequalities. J. Theoret. Probab. 10 (1997), no. 4, 835-848. | MR | Zbl
[9] L'algèbre de Lie des gradients itérés d'un générateur markovien - Développements de moyennes et entropies. Ann. Sci. École Norm. Sup. 28 (1995), no. 4, 435-460. | Numdam | MR | Zbl
[10] Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Bull. Sci. Math. 118 (1994), 485-510. | MR | Zbl
[11] Sur l'espérance conditionnelle par rapport à un mouvement brownien. Ann. Inst. H. Poincaré Sect. B (N.S.) 12 (1976), 105-109. | Numdam | MR | Zbl