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math.MG2018
Ulam Floating Body
Han Huang, Boaz A. Slomka, Elisabeth M. Werner
We study a new construction of bodies from a given convex body in which are isomorphic to (weighted) floating bodies. We establish several properties of this new c…
math.MG2017
Approximations of convex bodies by measure-generated sets
Han Huang, Boaz A. Slomka
Given a Borel measure on , we define a convex set by \[ M(μ)=\bigcup_{\substack{0\le f\le1,\\ \int_{{\mathbb R}^{n}}f\,{\rm d}μ=1 } }\left\{ \int_{{\mathbb R}^…