Abstract
The well-known Brunn-Minkowski Inequality (BMI) is one of the basic inequalities in geometry. A formal statement of this inequality is presented. The BMI is dual in some sense to the Entropy-Power Inequality (EPI), which lower bounds the entropy-power of the sum of independent random variables. A matrix form for the EPI has been derived previously, and some of its applications have been pointed out. Analogously, a matrix form for the BMI is derived, and its applications discussed.
| Original language | English |
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| Pages | 71 |
| Number of pages | 1 |
| State | Published - 1995 |
| Externally published | Yes |
| Event | Proceedings of the 1995 IEEE International Symposium on Information Theory - Whistler, BC, Can Duration: 17 Sep 1995 → 22 Sep 1995 |
Conference
| Conference | Proceedings of the 1995 IEEE International Symposium on Information Theory |
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| City | Whistler, BC, Can |
| Period | 17/09/95 → 22/09/95 |