Entropy and set cardinality inequalities for partition‐determined functions
暂无分享,去创建一个
[1] Terence Tao,et al. Additive combinatorics , 2007, Cambridge studies in advanced mathematics.
[2] Fan Chung Graham,et al. Some intersection theorems for ordered sets and graphs , 1986, J. Comb. Theory, Ser. A.
[3] Satoru Fujishige,et al. Polymatroidal Dependence Structure of a Set of Random Variables , 1978, Inf. Control..
[4] Béla Bollobás,et al. Compressions and isoperimetric inequalities , 1990, J. Comb. Theory, Ser. A.
[5] Helmut Plünnecke,et al. Eine zahlentheoretische Anwendung der Graphentheorie. , 1970 .
[6] Ehud Friedgut,et al. Hypergraphs, Entropy, and Inequalities , 2004, Am. Math. Mon..
[7] Katalin Gyarmati,et al. A superadditivity and submultiplicativity property for cardinalities of sumsets , 2007, Comb..
[8] Prasad Tetali,et al. Information-theoretic inequalities in additive combinatorics , 2010, 2010 IEEE Information Theory Workshop on Information Theory (ITW 2010, Cairo).
[9] Béla Bollobás,et al. Projections, entropy and sumsets , 2007, Comb..
[10] J. Radhakrishnan. Entropy and Counting ∗ , 2001 .
[11] Noga Alon,et al. An Application of Graph Theory to Additive Number Theory , 1985, Eur. J. Comb..
[12] Mokshay Madiman,et al. On the entropy of sums , 2008, 2008 IEEE Information Theory Workshop.
[13] Terence Tao,et al. Sumset and Inverse Sumset Theory for Shannon Entropy , 2009, Combinatorics, Probability and Computing.
[14] Vadim A. Kaimanovich,et al. Random Walks on Discrete Groups: Boundary and Entropy , 1983 .
[15] Imre Z. Ruzsa. Sumsets and entropy , 2009, Random Struct. Algorithms.
[16] Mokshay M. Madiman,et al. Sandwich bounds for joint entropy , 2007, 2007 IEEE International Symposium on Information Theory.
[17] Mokshay M. Madiman,et al. Generalized Entropy Power Inequalities and Monotonicity Properties of Information , 2006, IEEE Transactions on Information Theory.
[18] Te Sun Han. Nonnegative Entropy Measures of Multivariate Symmetric Correlations , 1978, Inf. Control..
[19] Mokshay M. Madiman,et al. Information Inequalities for Joint Distributions, With Interpretations and Applications , 2008, IEEE Transactions on Information Theory.
[20] Sergey G. Bobkov,et al. Dimensional behaviour of entropy and information , 2011, ArXiv.
[21] Thomas M. Cover,et al. Elements of Information Theory , 2005 .
[22] Giorgis Petridis,et al. New proofs of Plünnecke-type estimates for product sets in groups , 2011, Comb..
[23] F. Matús,et al. Two Constructions on Limits of Entropy Functions , 2007, IEEE Transactions on Information Theory.
[24] Imre Ruzsa. Cardinality questions about sumsets , 2007 .
[25] Mokshay M. Madiman,et al. The entropies of the sum and the difference of two IID random variables are not too different , 2010, 2010 IEEE International Symposium on Information Theory.
[26] S. Artstein,et al. Entropy Methods , .
[27] S. Bobkov,et al. Reverse Brunn–Minkowski and reverse entropy power inequalities for convex measures , 2011, 1109.5287.
[28] B. Bollobás,et al. Projections of Bodies and Hereditary Properties of Hypergraphs , 1995 .
[29] Alfred Geroldinger,et al. Combinatorial Number Theory and Additive Group Theory , 2009 .
[30] Katalin Gyarmati,et al. Plünnecke’s Inequality for Different Summands , 2008, 0810.1488.