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On Entropy Inequalities of Sums in Prime Cyclic Groups
[2017 Discrete Math 세미나]
Date: 2017-06-19
Speaker : 우재오 (U. of Texas-Austin)
Abstract : We establish the lower bound of the entropy of sums in prime cyclic groups and their applications. Main ingredients of our approach are extended rearrangement inequalities in prime cyclic groups and the function ordering in the sense of the majorization. Our entropy inequalities also have interesting applications on Discrete Entropy Power Inequalities, and the Littlewood-Offord problem. If time permits, we discuss how to establish the lower bound of the entropy of sums in integer through Sperner Theory.
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