Christos Saroglou

activity

20132026

most citedMore on logarithmic sums of convex bodies

28 citations · 44 across the 8 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.MG2015★ 8 cited

Characterization of Simplices via the Bezout Inequality for Mixed volumes

Christos Saroglou, Ivan Soprunov, Artem Zvavitch

We consider the following Bezout inequality for mixed volumes: $V (K_{1}, \dots, K_{r}, Δ [n - r]) V_{n} (Δ)^{r - 1} \leq i = 1 \prod r V (K_{i}, Δ [n - 1]) for 2 \leq r \leq n .$ It was shown…

math.MG2015

Iterations of the projection body operator and a remark on Petty's conjectured projection inequality

Christos Saroglou, Artem Zvavitch

We prove that if a convex body has absolutely continuous surface area measure, whose density is sufficiently close to the constant, then the sequence ${Π^{m} K}$ of convex bodies co…