Fetching the paper…
Reading the bibliography…
General extensions of an inequality due to Rogozin, concerning the essential supremum of a convolution of probability density functions on the real line, are obtained.
On extreme points of regular convex sets
M. Krein and D. Milman · 1940
Earlier work this paper cites.
A mathematical theory of communication
C.E. Shannon · 1948
Earlier work this paper cites.
A single integral inequality
C. A. Rogers · 1957
Earlier work this paper cites.
Some inequalities satisfied by the quantities of information of Fisher and Shannon
A.J. Stam · 1959
Earlier work this paper cites.
Geometric measure theory
H. Federer · 1969
Earlier work this paper cites.
On Conway’s conjecture for integer sets
S. O. Macdonald and A. P. Street · 1973
Earlier work this paper cites.
A simple converse for broadcast channels with additive white gaussian noise
P. Bergmans · 1974
Earlier work this paper cites.
A general rearrangement inequality for multiple integrals
H. J. Brascamp, E. H. Lieb, and J. M. Luttinger · 1974
Earlier work this paper cites.
Probability inequalities for convex sets and multidimensional concentration functions
M. Kanter · 1976
Earlier work this paper cites.
Unimodality and dominance for symmetric random vectors
M. Kanter · 1977
Earlier work this paper cites.
On the Gaussian interference channel
M.H.M. Costa · 1985
Earlier work this paper cites.
Cube slicing in 𝐑 n {\bf R}^{n}
K. Ball · 1986
Earlier work this paper cites.
Entropy and the central limit theorem
A.R. Barron · 1986
Earlier work this paper cites.
An estimate for the maximum of the convolution of bounded densities
B. A. Rogozin · 1987
Earlier work this paper cites.
Volumes of sections of cubes and related problems
K. Ball · 1989
Earlier work this paper cites.
Little Level Theorem and Zero-Khinchin Inequality
K. Ball and F. Nazarov · 1996
Earlier work this paper cites.
Convergence of Probability Measures
P. Billingsley · 1999
Earlier work this paper cites.
Gaussian processes: inequalities, small ball probabilities and applications
W. V. Li and Q.-M. Shao · 2001
Cited alongside, same era.
Topics in optimal transportation
C. Villani · 2003
Cited alongside, same era.
Solution of Shannon’s problem on the monotonicity of entropy
S. Artstein, K. M. Ball, F. Barthe, and A. Naor · 2004
Cited alongside, same era.
Moment-entropy inequalities
E. Lutwak, D. Yang, and G. Zhang · 2004
Cited alongside, same era.
The Brascamp-Lieb inequalities: finiteness, structure and extremals
J. Bennett, A. Carbery, M. Christ, and T. Tao · 2008
Cited alongside, same era.
Maximal probabilities of convolution powers of discrete uniform distributions
L. Mattner and B. Roos · 2008
Cited alongside, same era.
Entropy and set cardinality inequalities for partition-determined functions
M. Madiman, A. Marcus, and P. Tetali · 2012
Later among the works it cites.
On the problem of reversibility of the entropy power inequality
S. G. Bobkov and M. M. Madiman · 2013
Later among the works it cites.
Volume estimates for sections of certain convex bodies
P. Brzezinski · 2013
Later among the works it cites.
Small ball probability, inverse theorems, and applications
H. H. Nguyen and V. H. Vu · 2013
Later among the works it cites.
On self-similar sets with overlaps and inverse theorems for entropy
M. Hochman · 2014
Later among the works it cites.
Beyond the entropy power inequality, via rearrangements
L. Wang and M. Madiman · 2014
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
On Gaussian Brunn–Minkowski inequalities
F. Barthe and N. Huet · 2009
Cited alongside, same era.
Smallest singular value of a random rectangular matrix
M. Rudelson and R. Vershynin · 2009
Cited alongside, same era.
From the Littlewood-Offord problem to the circular law: universality of the spectral distribution of random matrices
T. Tao and V. Vu · 2009
Cited alongside, same era.
Monotonic convergence in an information-theoretic law of small numbers
Y. Yu · 2009
Cited alongside, same era.
Compound Poisson approximation via information functionals
A. D. Barbour, O. Johnson, I. Kontoyiannis, and M. Madiman · 2010
Cited alongside, same era.
Probability: theory and examples
R. Durrett · 2010
Cited alongside, same era.
Later among the works it cites.
A lower bound on the Rényi entropy of convolutions in the integers
L. Wang, J. O. Woo, and M. Madiman · 2014
Later among the works it cites.
Arak inequalities for concentration functions and the Littlewood–Offord problem
Yu. S. Eliseeva, F. Götze, and A. Yu. Zaitsev · 2015
Later among the works it cites.
Small ball probabilities, maximum density and rearrangements
T. Juškevičius and J. D. Lee · 2015
Later among the works it cites.
On sharp bounds for marginal densities of product measures
G. Livshyts, G. Paouris, and P. Pivovarov · 2015
Later among the works it cites.
Entropy bounds on abelian groups and the Ruzsa divergence
M. Madiman and I. Kontoyiannis · 2015
Later among the works it cites.
Small ball probabilities for linear images of high-dimensional distributions
M. Rudelson and R. Vershynin · 2015
Later among the works it cites.
Optimal concentration of information content for log-concave densities
M. Fradelizi, M. Madiman, and L. Wang · 2016
Later among the works it cites.
Discrete entropy power inequalities via Sperner theory
M. Madiman, L. Wang, and J. O. Woo · 2017
Closest in time.
Entropy inequalities for sums in prime cyclic groups
M. Madiman, L. Wang, and J. O. Woo · 2017
Closest in time.
Infinity-Rényi Entropy Power Inequalities
P. Xu, J. Melbourne, and M. Madiman · 2017
Closest in time.
A min-entropy power inequality on groups
P. Xu, J. Melbourne, and M. Madiman · 2017
Closest in time.