Projections, Entropy and Sumsets
Combinatorics
2017-01-10 v1 Number Theory
Probability
Abstract
In this paper we have shall generalize Shearer's entropy inequality and its recent extensions by Madiman and Tetali, and shall apply projection inequalities to deduce extensions of some of the inequalities concerning sums of sets of integers proved recently by Gyarmati, Matolcsi and Ruzsa. We shall also discuss projection and entropy inequalities and their connections.
Keywords
Cite
@article{arxiv.0711.1151,
title = {Projections, Entropy and Sumsets},
author = {Paul Balister and Béla Bollobás},
journal= {arXiv preprint arXiv:0711.1151},
year = {2017}
}
Comments
14 pages, 2 figures