@article{ZNSL_2009_368_a4,
author = {S. G. Bobkov},
title = {On a~theorem of {V.} {N.~Sudakov} on typical distributions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {59--74},
year = {2009},
volume = {368},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_368_a4/}
}
S. G. Bobkov. On a theorem of V. N. Sudakov on typical distributions. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 15, Tome 368 (2009), pp. 59-74. http://geodesic.mathdoc.fr/item/ZNSL_2009_368_a4/
[1] M. Antilla, K. Ball, I. Perissinaki, “The central limit problem for convex bodies”, Trans. Amer. Math. Soc., 355:12 (2003), 4723–4735 | DOI | MR
[2] S. G. Bobkov, “On concentration of distributions of random weighted sums”, Ann. Probab., 31:1 (2003), 195–215 | DOI | MR | Zbl
[3] S. G. Bobkov, “Concentration of distributions of the weighted sums with Bernoullian coefficients”, Geometric Aspects of Functional Analysis, Lect. Notes Math., 1807, Springer, Berlin, 2003, 27–36 | DOI | MR | Zbl
[4] S. G. Bobkov, C. Houdré, Some connections between isoperimetric and Sobolev-type inequalities, Mem. Amer. Math. Soc., 129, No 616, 1997, viii+111 pp. | MR
[5] C. Borell, “Convex measures on locally convex spaces”, Ark. Mat., 12 (1974), 239–252 | DOI | MR | Zbl
[6] P. Diaconis, D. Freedman, “Asymptotics of graphical projection pursuit”, Ann. Stat., 12:3 (1984), 793–815 | DOI | MR | Zbl
[7] R. M. Dudley, Real analysis and probability, The Wadsworth Brooks/Cole Mathematics Series, Pacific Grove, CA, 1989 | MR | Zbl
[8] B. Klartag, “A central limit theorem for convex sets”, Invent. Math., 168:1 (2007), 91–131 | DOI | MR | Zbl
[9] M. Ledoux, “Concentration of measure and logarithmic Sobolev inequalities”, Séminaire de Probabilités, XXXIII, Lect. Notes Math., 1709, Springer, Berlin, 1999, 120–216 | DOI | MR | Zbl
[10] V. G. Mazya, Prostranstva S. L. Soboleva, Izd-vo Leningr. un-ta, 1985 | MR | Zbl
[11] C. E. Mueller, F. B. Weissler, “Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the $n$-sphere”, J. Funct. Anal., 48:2 (1982), 252–283 | DOI | MR | Zbl
[12] S. V. Nagaev, “O raspredeleniyakh lineinykh funktsionalov v konechnomernykh prostranstvakh vysokoi razmernosti”, Dokl. Akad. Nauk SSSR, 263:2 (1982), 295–296 | MR
[13] S. Sodin, “Tail-sensitive Gaussian asymptotics for marginals of concentrated measures in high dimension”, Geometric Aspects of functional analysis, Lect. Notes Math., 1910, Springer, Berlin, 2007, 271–295 | DOI | MR | Zbl
[14] A. V. Sudakov, V. N. Sudakov, “Empiricheskie raspredeleniya i ravnomernye po razmernosti otsenki razbrosa v zadache o tipichnykh raspredeleniyakh”, Zap. nauchn. semin. POMI, 260, 1999, 258–262 | MR | Zbl
[15] V. N. Sudakov, “Tipichnye raspredeleniya lineinykh funktsionalov na prostranstvakh vysokoi razmernosti”, Dokl. Akad. Nauk SSSR, 243:6 (1978), 1402–1405 | MR | Zbl
[16] V. N. Sudakov, “O raspredeleniyakh sluchaino vybrannykh sluchainykh velichin”, Zap. nauchn. semin. POMI, 165, 1994, 153–160 | MR
[17] H. von Weizsäcker, “Sudakov's typical marginals, random linear functionals and a conditional central limit theorem”, Probab. Theory Rel. Fields, 107 (1997), 313–324 | DOI | MR | Zbl
[18] V. M. Zolotarev, “Otsenki blizosti raspredelenii v metrike Levi”, Trudy MIAN SSSR, 112, 1971, 224–231 | MR | Zbl