3 problems

Weighted tropical Fermat-Weber polytrope conjecture. The set $\mathrm{FW}_W(\mathcal{S})$ forms a polytrope in $\mathbb{R}^{d-1}\cong\mathbb{R}^{d}/\mathbb{R}\mathbf{1}$.

Let $M$ be an integer matrix in the polytrope region $\mathcal{P}_d$. The ideal class polytrope $\mathcal{G}_M$ and the ideal class polytrope $\mathcal{Q}_M$ are the polytopes asso…

Let $\nu$, $\gamma$, and $\beta$ be the parameters of the static system for self-gravitating polytropic elastic balls, and let $\mathcal{O}$ denote the domain of parameter values f…