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The Ethereal
Majorization and Rényi Entropy Inequalities via Sperner Theory
December 04, 2017 · The Ethereal · 🏛 Discrete Mathematics
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Authors
Mokshay Madiman, Liyao Wang, Jae Oh Woo
arXiv ID
1712.00913
Category
math.CO: Combinatorics
Cross-listed
cs.IT,
math.PR
Citations
23
Venue
Discrete Mathematics
Last Checked
1 month ago
Abstract
A natural link between the notions of majorization and strongly Sperner posets is elucidated. It is then used to obtain a variety of consequences, including new Rényi entropy inequalities for sums of independent, integer-valued random variables.
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