Publications

G. Averkov, K. von Dichter, and I. Soprunov. On the log-submodularity for zonoids: from mixed volume inequalities to the hypercube. Preprint, 2026.

G. Averkov, K. von Dichter, S. Richard, and I. Soprunov. Mixed volumes of zonoids and the absolute value of the Grassmannian. Beiträge zur Algebra und Geometrie, accepted. arXiv:2404.02842, 2026.

R. Brandenberg, K. von Dichter, and B. González Merino. From inequalities relating symmetrizations of convex bodies to the diameter-width ratio for complete and pseudo-complete convex sets. Beiträge zur Algebra und Geometrie, 2026. DOI: 10.1007/s13366-026-00826-0. (Preprint: arXiv:2306.11460)

A. Caragea, K. von Dichter, K. Gottwald, F. Grundbacher, T. Jahn, and M. Runge. Minkowski chirality: a measure of reflectional asymmetry of convex bodies. Journal of Mathematical Analysis and Applications, 557(1):130287, 2026.

M. Runge and K. von Dichter. Bounding the diameter-width ratio using containment inequalities of means of convex bodies. Preprint, arXiv:2512.04633, 2025.

R. Brandenberg, K. von Dichter, and B. González Merino. Tightening and reversing the arithmetic-harmonic mean inequality for symmetrizations of convex bodies. Communications in Contemporary Mathematics, 25(9):2250045, 2023. DOI: 10.1142/S021919972250045X.

R. Brandenberg, K. von Dichter, and B. González Merino. Relating symmetrizations of convex bodies: once more the golden ratio. American Mathematical Monthly, 129(4):352–362, 2022. DOI: 10.1080/00029890.2022.2043113.

K. von Dichter. Relating Brunn-Minkowski and Rogers-Shephard inequalities with the Minkowski asymmetry measure. In Proceedings of the 2nd Croatian Combinatorial Days, Zagreb, 2019. DOI: 10.5592/CO/CCD.2018.02.