Sumsets and entropy revisited

A. Avez, Entropie des groupes de type fini, C. R. Acad. Sci. Paris Sér. A-B 275

1972

Earlier work this paper cites.

G. A. Freiman, Number-theoretic studies in the Markov spectrum and in the structural theory of set addition, In Groups and the Inverse Problems of Additive Number Theory (in Russian) (Moscow: Kalinin. Gos. Univ., 1973)

1973

Earlier work this paper cites.

V. A. Kaĭmanovich and A. M. Vershik, Random walks on discrete groups: boundary and entropy, Ann. Probab. 11

1983

Earlier work this paper cites.

R. Gray, Entropy and information theory. Springer-Verlag, New York, 1990

1990

Earlier work this paper cites.

J. Bourgain and M.-C. Chang, On the size of k k -fold sum and product sets of integers , J. Amer. Math. Soc. 17

2004

Earlier work this paper cites.

B. J. Green, Finite field models in additive combinatorics, in Surveys in Combinatorics 2005 London Math. Soc. Lecture Notes 327

2005

Earlier work this paper cites.

A. Samorodnitsky, Low-degree tests at large distances, In Proceedings of the thirty-ninth annual ACM symposium on Theory of computing, 2007, 506–515

2007

Earlier work this paper cites.

T. C. Tao and V. H. Vu, John-type theorems for generalized arithmetic progressions and iterated sumsets , Adv. Math. 219

2008

Earlier work this paper cites.

M.- C. Chang, Some consequences of the polynomial Freiman-Ruzsa conjecture, C. R. Math. Acad. Sci. Paris 347

2009

Cited alongside, same era.

I. Z. Ruzsa, Sumsets and entropy, Random Struct. Alg., 34 (2009), 1–10

2009

Cited alongside, same era.

B. J. Green and T. C. Tao, An equivalence between inverse sumset theorems and inverse conjectures for the U 3 U^{3} -norm, Math. Proc. Camb. Philo. Soc. 149

2010

Cited alongside, same era.

T. C .Tao, Sumset and inverse sumset theory for Shannon entropy , Combin. Probab. Comput. 19

2010

Cited alongside, same era.

T. C. Tao and V. H. Vu, Additive combinatorics. Cambridge Studies in Advanced Mathematics 105

2010

Cited alongside, same era.

S. Lovett, Equivalence of polynomial conjectures in additive combinatorics, Combinatorica 32

T. Sanders, The structure theory of set addition revisited, Bull. Amer. Math. Soc. 50

2013

Later among the works it cites.

M. Hochman, On self-similar sets with overlaps and inverse theorems for entropy, Ann. of Math. (2) 180

2014

Later among the works it cites.

S. Lovett and O. Regev, A counterexample to a strong variant of the polynomial Freiman–Ruzsa conjecture, Discrete Analysis 2017:8, 6 pp

2017

Later among the works it cites.

F. R. W. M. Manners, Finding a Low-dimensional Piece of a Set of Integers, Int. Math. Res. Not. 15

2017

Later among the works it cites.

E. Breuillard and P. Varjú, Entropy of Bernoulli convolutions and uniform exponential growth for linear groups, J. Anal. Math. 140

2020

Later among the works it cites.