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On the volume of the Minkowski sum of line sets and the entropy-power inequality

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2 Author(s)
Zamir, R. ; Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Israel ; Feder, M.

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

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Information Theory, IEEE Transactions on  (Volume:44 ,  Issue: 7 )