@article{d20546d0a728437f9e816dabdd4f2408,

title = "On the volume of the Minkowski sum of line sets and the entropy-power inequality",

abstract = "We derive a version of the Brunn-Minkowski inequality which gives a nontrivial lower bound on the volume of the Minkowski sum of degenerate sets, namely, line sets. This inequality parallels a recently obtained matrix generalization of the entropy-power inequality.",

keywords = "Brunn-Minkowski inequality, Entropy power inequality, Matrix generalization of information-theoretic inequalities, Zonotope",

author = "Ram Zamir and Meir Feder",

note = "Funding Information: Manuscript received December 1, 1996; revised April 5, 1998. This work was supported in part by the Wolfson Research Awards administered by the Israel Academy of Science and Humanities. The material in this correspondence was presented in part at the International Symposium on Information Theory, Whistler, BC, September 1995.",

year = "1998",

doi = "10.1109/18.737531",

language = "אנגלית",

volume = "44",

pages = "3039--3043",

journal = "IEEE Transactions on Information Theory",

issn = "0018-9448",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "7",

}