Alexey Balitskiy

activity

20132022

most citedElementary approach to closed billiard trajectories in asymmetric normed spaces

16 citations · 37 across the 11 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.MG2016

On the Circle Covering Theorem by A. W. Goodman and R. E. Goodman

Arseniy Akopyan, Alexey Balitskiy, Mikhail Grigorev

In 1945, A. W. Goodman and R. E. Goodman proved the following conjecture by P. Erdős: Given a family of (round) disks of radii $r_{1}$ , $\dots$ , $r_{n}$ in the plane it is always poss…

math.MG2016

Dependence of the heavily covered point on parameters

Alexey Balitskiy, Roman Karasev

We examine Gromov's method of selecting a point "heavily covered" by simplices formed by a given finite point sets, in order to understand the dependence of the heavily covered poi…