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math.AP2026
The Weighted Dual Minkowski Problem Under Group Symmetry
Karoly J. Boroczky, Stephanie Mui, Gaoyong Zhang
The paper studies the weighted dual Minkowski problem for the weighted th dual curvature measure of convex bodies in first posed by Huang, Lutwak, Yang, and Zhang.…
math.AP2026
The Lp centro-sectional Minkowski problem
Karoly J. Boroczky, Jiaqian Liu, Renqing You
As part of Lutwak's broadening of the Brunn-Minkowski theory, and extending the notion of affine quermassintegrals and dual curvature measure discussed by Milman, Yehudayoff and Hu…
math.AP2026
Quantitative Stability for Minkowski's problem
Károly Böröczky, João Miguel Machado, João P. G. Ramos
We derive quantitative stability results for Minkowski bodies, as well as their counterparts, the -Minkowski bodies in the range . We prove that, for every pai…