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.
|Number of pages||1|
|State||Published - 1995|
|Event||Proceedings of the 1995 IEEE International Symposium on Information Theory - Whistler, BC, Can|
Duration: 17 Sep 1995 → 22 Sep 1995
|Conference||Proceedings of the 1995 IEEE International Symposium on Information Theory|
|City||Whistler, BC, Can|
|Period||17/09/95 → 22/09/95|