Small ball probabilities for linear images of high dimensional distributions

P. Lévy, Théorie de l’addition des variables aléatoires

1937

Earlier work this paper cites.

A. Kolmogorov, Sur les propriétés des fonctions de concentrations de M. P. Lévy

1958

Earlier work this paper cites.

B. A. Rogozin, On the increase of dispersion of sums of independent random variables

1961

Earlier work this paper cites.

C. G. Esseen, On the Kolmogorov-Rogozin inequality for the concentration function

1966

Earlier work this paper cites.

G. Halász, On the distribution of additive arithmetic functions

1975

Earlier work this paper cites.

H. J. Brascamp, E. H. Lieb, Best constants in Young’s inequality, its converse, and its generalization to more than three functions

1976

Earlier work this paper cites.

G. Halász, Estimates for the concentration function of combinatorial number theory and probability

1977

Earlier work this paper cites.

K. Ball, Cube slicing in ℝ n \mathbb{R}^{n}

1986

Cited alongside, same era.

B. A. Rogozin, An estimate for the maximum of the convolution of bounded densities

1987

Cited alongside, same era.

K. Ball, Volumes of sections of cubes and related problems

1989

Cited alongside, same era.

G. Pisier, The volume of convex bodies and Banach space geometry

1989

Cited alongside, same era.

K. Ball, F. Nazarov, Little level theorem and zero-Khinchin inequality

1996

Cited alongside, same era.

W. V. Li, Q.-M. Shao, Gaussian processes: inequalities, small ball probabilities and applications

2001

Cited alongside, same era.

M. Rudelson, R. Vershynin, Smallest singular value of a random rectangular matrix

2009

Later among the works it cites.

T. Tao, V. Vu, From the Littlewood-Offord problem to the circular law: universality of the spectral distribution of random matrices

2009

Later among the works it cites.

M. Rudelson, R. Vershynin, Non-asymptotic theory of random matrices: extreme singular values

2010

Later among the works it cites.

G. Paouris, Small ball probability estimates for log-concave measures

2012

Later among the works it cites.

R. Vershynin, Introduction to the non-asymptotic analysis of random matrices

2012

Later among the works it cites.

M. Rudelson, R. Vershynin, Hanson-Wright inequality and sub-gaussian concentration

2013