%0 Journal Article %T Remarks about Mixed Discriminants and Volumes %A Shiri Artstein-Avidan %A Dan Florentin %A Yaron Ostrover %J Mathematics %D 2013 %I arXiv %X In this note we prove certain inequalities for mixed discriminants of positive semi-definite matrices, and mixed volumes of compact convex sets in n-dimensions. Moreover, we discuss how the latter are related to the monotonicity of an information functional on the class of convex bodies, which is a geometric analogue of the classical Fisher information. %U http://arxiv.org/abs/1306.1315v1