Inégalités isopérimétriques et calcul stochastique

Michel Ledoux

Séminaire de probabilités de Strasbourg (1988)

  • Volume: 22, page 249-259

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Ledoux, Michel. "Inégalités isopérimétriques et calcul stochastique." Séminaire de probabilités de Strasbourg 22 (1988): 249-259. <http://eudml.org/doc/113638>.

@article{Ledoux1988,
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 = {http://eudml.org/doc/113638},
volume = {22},
year = {1988},
}

TY - JOUR
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 - http://eudml.org/doc/113638
ER -

References

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  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
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