A unified approach to several inequalities for gaussian and diffusion measures

Yao-Zhong Hu

Séminaire de probabilités de Strasbourg (2000)

  • Volume: 34, page 329-335

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Hu, Yao-Zhong. "A unified approach to several inequalities for gaussian and diffusion measures." Séminaire de probabilités de Strasbourg 34 (2000): 329-335. <http://eudml.org/doc/114045>.

@article{Hu2000,
author = {Hu, Yao-Zhong},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {hypercontractive inequalities; logarithmic Sobolev inequalities; FKG inequalities; correlation inequalities},
language = {eng},
pages = {329-335},
publisher = {Springer - Lecture Notes in Mathematics},
title = {A unified approach to several inequalities for gaussian and diffusion measures},
url = {http://eudml.org/doc/114045},
volume = {34},
year = {2000},
}

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
PB - Springer - Lecture Notes in Mathematics
VL - 34
SP - 329
EP - 335
LA - eng
KW - hypercontractive inequalities; logarithmic Sobolev inequalities; FKG inequalities; correlation inequalities
UR - http://eudml.org/doc/114045
ER -

References

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  1. [1] Bakry, D.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. Zbl0561.42011MR889473
  2. [2] Bakry, D.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. Zbl0856.47026MR1307413
  3. [3] Bakry, D.; Emery, M.Diffusions hypercontractives. Séminaire de probabilités, XIX, 1983/84, 177-206, Lecture Notes in Math., 1123, Springer, Berlin-New York, 1985. Zbl0561.60080MR889476
  4. [4] Bakry, D.; Ledoux, M.Lévy-Gromov's isoperimetric inequality for an infinite-dimensional diffusion generator. Invent. math.123 (1996), 259-281. Zbl0855.58011MR1374200
  5. [5] Davies, E.B.; Gross, L.; Simon, B.Hypercontractivity: a bibliographic review. Ideas and methods in quantum and statistical physics (Oslo, 1988) , 370-389, Cambridge Univ. Press, Cambridge, 1992. Zbl0790.46055MR1190534
  6. [6] Driver, B.K.; and Hu, Y.Z.On heat kernel logarithmic Sobolev inequalities. Stochastic analysis and applications (Powys, 1995), 189-200, World Sci. Publishing, River Edge, NJ, 1996. Zbl0918.60039MR1453132
  7. [7] Dellacherie, C.; Meyer, P.-A.; Maisonneuve, B.Probabilités et Potentiel. V. Hermann, Paris, 1992. 
  8. [8] Hu, Y.Z.Itô-Wiener chaos expansion with exact residual and correlation, variance inequalities. J. Theoret. Probab.10 (1997), no. 4, 835-848. Zbl0891.60060MR1481650
  9. [9] Ledoux, M.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. Zbl0842.60075MR1334608
  10. [10] Ledoux, M.Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Bull. Sci. Math.118 (1994), 485-510. Zbl0841.49024MR1309086
  11. [11] Neveu, J.Sur l'espérance conditionnelle par rapport à un mouvement brownien. Ann. Inst. H. Poincaré Sect. B (N.S.) 12 (1976), 105-109. Zbl0356.60028MR431400

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