Title    name
2017 Discrete Math 세미나
 
  Title
  Speaker 우재오
  Date 2017-06-19
  Host
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다.   
 
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.