2013/06/06 by Shiri Artstein-Avidan, Artstein-Avidan, Shiri, Dan Florentin +3 · 1 citation
Mathematics · Biochemistry, Genetics and Molecular Biology · #Point processes and geometric inequalities #Diffusion and Search Dynamics #Mathematical Inequalities and Applications
paper · pdf · doi:10.48550/arxiv.1306.1315
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.