Arseniy Akopyan

activity

20122023

most citedCutting the same fraction of several measures

7 citations · 7 across the 3 of their papers we have counts for

collaborators

2 papers

math.DS2014

Minimal resistance of curves under the single impact assumption

Arseniy Akopyan, Alexander Plakhov

We consider the hollow on the half-plane ${(x, y) : y \leq 0} \subset R^{2}$ defined by a function $u : (- 1, 1) \to R$ , $u (x) < 0$ and a vertical flow of point part…

math.MG2012★ 7 cited

Cutting the same fraction of several measures

Arseniy Akopyan, Roman Karasev

We study some measure partition problems: Cut the same positive fraction of $d + 1$ measures in $R^{d}$ with a hyperplane or find a convex subset of $R^{d}$ on which $d+1…