Voir la notice de l'article provenant de la source Cambridge University Press
Fradelizi, Matthieu; Paouris, Grigoris; Schütt, Carsten. Simplices in the Euclidean Ball. Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 498-508. doi: 10.4153/CMB-2011-142-1
@article{10_4153_CMB_2011_142_1,
author = {Fradelizi, Matthieu and Paouris, Grigoris and Sch\"utt, Carsten},
title = {Simplices in the {Euclidean} {Ball}},
journal = {Canadian mathematical bulletin},
pages = {498--508},
year = {2012},
volume = {55},
number = {3},
doi = {10.4153/CMB-2011-142-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-142-1/}
}
TY - JOUR AU - Fradelizi, Matthieu AU - Paouris, Grigoris AU - Schütt, Carsten TI - Simplices in the Euclidean Ball JO - Canadian mathematical bulletin PY - 2012 SP - 498 EP - 508 VL - 55 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-142-1/ DO - 10.4153/CMB-2011-142-1 ID - 10_4153_CMB_2011_142_1 ER -
[1] [1] Ball, K. M., Ellipsoids of maximal volume in convex bodies. Geom. Dedicata 41(1992), 241–250. Google Scholar
[2] [2] Böröczky, K., Böröczky, K. J., Schütt, C. and Wintsche, G., Convex bodies of minimal volume, surface area and mean width with respect to thin shells. Canad. J. Math. 60(2008), 3–32. Google Scholar | DOI
[3] [3] Fradelizi, M., Inégalités fonctionnelles et volume des sections des corps convexes. Thèse de Doctorat, Université Paris 6, 1998. Google Scholar
[4] [4] Giannopoulos, A., Notes on isotropic convex bodies. Warsaw University Notes, 2003. Google Scholar
[5] [5] Guédon, O., Sections euclidiennes des corps convexes et inégalités de concentration volumique. Thèse de Doctorat, Université Marne-la-Vallée, 1998. Google Scholar
[6] [6] Guédon, O. and Litvak, A. E., On the symmetric average of a convex body. Adv. Geom., to appear. Google Scholar
[7] [7] John, F., Extremum problems with inequalities as subsidiary conditions. Courant Anniversary Volume, Interscience, New York, 1948, 187–204. Google Scholar
[8] [8] Kannan, R., Lovász, L. and Simonovits, M., Isoperimetric problems for convex bodies and a localization lemma. Discrete Comput. Geom. 13(1995), 541–559. Google Scholar | DOI
[9] [9] Milman, V. and Pajor, A., Isotropic positions and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space. In: Geometric aspects of functional analysis (1987–88), Lecture Notes in Math. , Springer, Berlin, 1989, 64–104. Google Scholar
Cité par Sources :