Inégalités isopérimétriques et calcul stochastique

Michel Ledoux

Séminaire de probabilités de Strasbourg (1988)

  • Volume: 22, page 249-259

How to cite


Ledoux, Michel. "Inégalités isopérimétriques et calcul stochastique." Séminaire de probabilités de Strasbourg 22 (1988): 249-259. <>.

author = {Ledoux, Michel},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {expository note; stochastic calculus; Itô’s formula; concentration inequalities of isoperimetric type for Gaussian measures; Gaussian processes; Gaussian chaos},
language = {fre},
pages = {249-259},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Inégalités isopérimétriques et calcul stochastique},
url = {},
volume = {22},
year = {1988},

AU - Ledoux, Michel
TI - Inégalités isopérimétriques et calcul stochastique
JO - Séminaire de probabilités de Strasbourg
PY - 1988
PB - Springer - Lecture Notes in Mathematics
VL - 22
SP - 249
EP - 259
LA - fre
KW - expository note; stochastic calculus; Itô’s formula; concentration inequalities of isoperimetric type for Gaussian measures; Gaussian processes; Gaussian chaos
UR -
ER -


  1. [AZ] Acosta, A. De, Zinn, J., Communication à la Conférence Probability in Banach spaces VI, Danemark1986. 
  2. [B1] Borell, C., The Brunn-Minkowski inequality in Gauss space, Invent. Math., 30, 1975, p. 207-216. Zbl0292.60004MR399402
  3. [B2] Borell, C., Tail probabilities in Gauss space [Vector space measures and applications, Dublin1977], Lecture Notes in Math.644, 1978, p. 71-82, Springer-Verlag. Zbl0397.60015MR502400
  4. [B3] Borell, C., Geometric bounds on the Ornstein-Uhlenbeck velocity process, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 70, 1985, p. 1-13. Zbl0537.60084MR795785
  5. [C] Chen, L.H.Y., Poincaré-type inequalities via stochastic integrals, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 69, 1985, p. 251-277. Zbl0549.60019MR779459
  6. [E1] Ehrhard, A., Symétrisation dans l'espace de Gauss, Math. Scand., 53, 1983, p. 281-301. Zbl0542.60003MR745081
  7. [E2] Ehrhard, A., Inégalités isopérimétriques et intégrales de Dirichlet gaussiennes, Ann. Scient. Ec. Norm. Sup., 17, 1984, p. 317-332. Zbl0546.49020MR760680
  8. [E3] Ehrhard, A., Eléments extrémaux pour les inégalités de Brunn-Minkowski gaussiennes, Ann. Inst. H. Poincaré, 22, 1986, p. 149-168. Zbl0595.60020MR850753
  9. [E4] Ehrhard, A., Convexité de mesures gaussiennes [Thèse de l'Université Louis Pasteur, Strasbourg (1985)]. 
  10. [F] Fernique, X., Intégrabilité des vecteurs gaussiens, C.R. Acad. Sci.Paris, Série A, 270, 1970, p. 1698-1699. Zbl0206.19002MR266263
  11. [FLM] Figiel, T., Lindenstrauss, J., Milman, V.D., The dimensions of almost spherical sections of convex bodies, Acta Math., 139, 1977, p. 53-94. Zbl0375.52002MR445274
  12. [GM] Gromov, M., Milman, V.D., A topological application of the isoperimetric inequality, Amer. J. Math., 105, 1983, p. 843-854. Zbl0522.53039MR708367
  13. [LS] Landau, H.J., Shepp, L.A., On the supremum of a Gaussian process, Sankhya, A 32, 1970, p. 369-378. Zbl0218.60039MR286167
  14. [MK] McKean, H.P., Geometry of differential space, Ann. Probability, 1, 1973, p. 197-276. Zbl0263.60035MR353471
  15. [MaS] Marcus, M.B., Shepp, L.A., Sample behavior of Gaussian processes, Proc. of the Sixth Berkeley Symposium on Math. Stat. and Prob.2, 1972, p. 423-441. Zbl0379.60040MR402896
  16. [MS] Milman, V.D., Schechtman, G., Asymptotic theory of finite dimensional normed spaces, Lecture Notes in Math.1200, 1986, Springer-Verlag. Zbl0606.46013MR856576
  17. [O] Osserman, R., The isoperimetric inequality, Bull. Amer. Math. Soc., 84, 1978, p. 1182-1238. Zbl0411.52006MR500557
  18. [P] Pisier, G., Probabilistic methods in the geometry of Banach spaces [Probability and Analysis, Varenna1985], Lecture Notes in Math.1206, 1986, p. 167-241, Springer-Verlag. Zbl0606.60008MR864714
  19. [T] Talagrand, M., Sur l'intégrabilité des vecteurs gaussiens, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 68, 1984, p. 1-8. Zbl0529.60034MR767440

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.