2 papers
math.MG2020
Unique determination of ellipsoids by their dual volumes and the moment problem
Sergii Myroshnychenko, Kateryna Tatarko, Vladyslav Yaskin
Gusakova and Zaporozhets conjectured that ellipsoids in are uniquely determined (up to an isometry) by their Steiner polynomials. Petrov and Tarasov confirmed this co…
math.MG2017
Grünbaum's inequality for sections
Sergii Myroshnychenko, Matthew Stephen, Ning Zhang
We show \begin{align*} \frac{ \int_{E \cap θ^+} f(x) dx }{ \int_E f(x) dx } \geq \left(\frac{k γ+1}{(n+1) γ+1}\right)^{\frac{k γ+1}γ} \end{align*} for all -dimensional subspaces…