Mitsunari Nakao

Complete Equality and Sharp Minimality for Marked Two-Probe Mixed-Volume Deficits of Zonoids

We study a mixed-volume deficit for zonoids determined by a base family and two marked probes in dimension d. The deficit Δ = βγ − αη has a formal Gale representation. On its rank-two layer, k = 2 (equivalently g = d), the deficit is nonnegative and its equality set is explicit....