期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 48, 期 7, 页码 1992-1995出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2002.1013138
关键词
entropy; groups; group-theoretic inequalities; information inequalities
In this paper, we establish a one-to-one correspondence between information inequalities and group inequalities. The major implication of our result is that we can prove information inequalities by proving the corresponding group inequalities, and vice versa. By giving a group-theoretic proof for all Shannon-type inequalities, we suggest that new inequalities could be discovered by making use of the rich set of tools in group theory. On the other hand, via a non-Shannon-type information inequality recently discovered by Zhang and Yeung, we obtain a new inequality in group theory whose meaning is yet to be understood.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据