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Lower bounds for the R\'enyi entropies of sums of independent random variables taking values in cyclic groups of prime order under permutations are established.
On the number of real roots of a random algebraic equation. III
J. E. Littlewood and A. C. Offord · 1943
Earlier work this paper cites.
On a lemma of Littlewood and Offord
P. Erdös · 1945
Earlier work this paper cites.
A mathematical theory of communication
C.E. Shannon · 1948
Earlier work this paper cites.
Inequalities
G. H. Hardy, J. E. Littlewood, and G. Pólya · 1952
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.
On the Kolmogorov-Rogozin inequality for the concentration function
C. Esseen · 1966
Earlier work this paper cites.
A theorem on the entropy of certain binary sequences and applications. I
A. D. Wyner and J. Ziv · 1973
Earlier work this paper cites.
Addition properties of residue classes
J. M. Pollard · 1975
Earlier work this paper cites.
Probability inequalities for convex sets and multidimensional concentration functions
M. Kanter · 1976
Earlier work this paper cites.
Approximation of n n -fold convolutions of distributions, having a nonnegative characteristic function, with accompanying laws
T. V. Arak · 1980
Earlier work this paper cites.
On the rate of convergence in Kolmogorov’s uniform limit theorem
T. V. Arak · 1981
Earlier work this paper cites.
Majorization and the Lorenz order: a brief introduction
B. C. Arnold · 1987
Earlier work this paper cites.
A binary analog to the entropy-power inequality
S. Shamai and A.D. Wyner · 1990
Earlier work this paper cites.
Entropy and convergence on compact groups
O. Johnson and Y. Suhov · 2000
Earlier work this paper cites.
A Brunn-Minkowski inequality for the integer lattice
R. J. Gardner and P. Gronchi · 2001
Earlier work this paper cites.
Linear equations over 𝔽 p \mathbb{F}_{p} and moments of exponential sums
V. F. Lev · 2001
Earlier work this paper cites.
An entropy power inequality for the binomial family
P. Harremoës and C. Vignat · 2003
Earlier work this paper cites.
Entropy and the law of small numbers
I. Kontoyiannis, P. Harremoës, and O. Johnson · 2005
Earlier work this paper cites.
Elements of Information Theory
Cover, Thomas M. and Thomas, Joy A · 2006
Earlier work this paper cites.
Additive combinatorics
T. Tao and V. Vu · 2006
Cited alongside, same era.
A shorter proof of Kanter’s Bessel function concentration bound
L. Mattner and B. Roos · 2007
Cited alongside, same era.
The Littlewood-Offord problem and invertibility of random matrices
M. Rudelson and R. Vershynin · 2008
Cited alongside, same era.
Sumsets and entropy
I. Z. Ruzsa · 2009
Cited alongside, same era.
Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
T. Tao and V. H. Vu · 2009
Cited alongside, same era.
Monotonic convergence in an information-theoretic law of small numbers
Y. Yu · 2009
Cited alongside, same era.
A new approach to the entropy power inequality, via rearrangements
L. Wang and M. Madiman · 2013
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A new entropy power inequality for integer-valued random variables
S. Haghighatshoar, E. Abbe, and E. Telatar · 2014
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The entropy power inequality and Mrs. Gerber’s lemma for groups of order 2 n 2^{n}
V. Jog and V. Anantharam · 2014
Later among the works it cites.
Sumset and inverse sumset inequalities for differential entropy and mutual information
I. Kontoyiannis and M. Madiman · 2014
Later among the works it cites.
Beyond the entropy power inequality, via rearrangements
L. Wang and M. Madiman · 2014
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
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A. D. Barbour, O. Johnson, I. Kontoyiannis, and M. Madiman · 2010
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On extending Pollard’s theorem for t t -representable sums
D. J. Grynkiewicz · 2010
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Thinning, entropy, and the law of thin numbers
P. Harremoës, O. Johnson, and I. Kontoyiannis · 2010
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Monotonicity, thinning, and discrete versions of the entropy power inequality
O. Johnson and Y. Yu · 2010
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Information-theoretic inequalities in additive combinatorics
M. Madiman, A. Marcus, and P. Tetali · 2010
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Sumset and inverse sumset theory for Shannon entropy
T. Tao · 2010
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A discrete entropy power inequality for uniform distributions
J. O. Woo and M. Madiman · 2015
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Do Minkowski averages get progressively more convex?
M. Fradelizi, M. Madiman, A. Marsiglietti, and A. Zvavitch · 2016
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Anti-concentration inequalities
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Arak inequalities for concentration functions and the Littlewood-Offord problem
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Forward and reverse entropy power inequalities in convex geometry
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Differential entropy as a GL ( n , ℤ ) (n,\mathbb{Z}) -invariant on locally compact abelian groups
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