O. R. Adamczak, R. Guédon, A. E. Lata-la, C. Litvak, A. Oleszkiewicz et al., Moment estimates for convex measures, Electronic Journal of Probability, vol.17, issue.0, pp.1-19, 2011.
DOI : 10.1214/EJP.v17-2150

URL : https://hal.archives-ouvertes.fr/hal-00793780

M. Fradelizi, Sections of convex bodies through their centroid, Archiv der Mathematik, vol.69, issue.6, pp.515-522, 1997.
DOI : 10.1007/s000130050154

S. [. Friedland and . Sodin, Bounds on the concentration function in terms of the Diophantine approximation, Comptes Rendus Mathematique, vol.345, issue.9, pp.513-518, 2007.
DOI : 10.1016/j.crma.2007.10.006

K. [. Lata-la and . Oleszkiewicz, Small ball probability estimates in terms of width, Studia Mathematica, vol.169, issue.3, pp.305-314, 2005.
DOI : 10.4064/sm169-3-6

W. V. Li and Q. Shao, Gaussian processes: Inequalities, small ball probabilities and applications, Handbook of Statist, vol.19, pp.533-597, 2001.
DOI : 10.1016/S0169-7161(01)19019-X

H. H. Nguyen, Inverse Littlewood-Offord problems and the singularity of random symmetric matrices , Duke Math, J, vol.161, issue.4, pp.545-586, 2012.

V. [. Nguyen and . Vu, Small Ball Probability, Inverse Theorems, and Applications
DOI : 10.1007/978-3-642-39286-3_16

G. Paouris, Small ball probability estimates for log-concave measures, Transactions of the American Mathematical Society, vol.364, issue.1, pp.287-308, 2012.
DOI : 10.1090/S0002-9947-2011-05411-5

G. Paouris and P. Pivovarov, Small-Ball Probabilities for the Volume of Random Convex Sets, Discrete & Computational Geometry, vol.78, issue.10, pp.601-646, 2013.
DOI : 10.1007/s00454-013-9492-2

R. [. Rudelson and . Vershynin, The Littlewood???Offord problem and invertibility of random matrices, Advances in Mathematics, vol.218, issue.2, pp.600-633, 2008.
DOI : 10.1016/j.aim.2008.01.010

T. Tao and V. H. Vu, From the Littlewood-Offord problem to the Circular Law: Universality of the spectral distribution of random matrices, Bulletin of the American Mathematical Society, vol.46, issue.3, pp.377-396, 2009.
DOI : 10.1090/S0273-0979-09-01252-X