24 citations · 143 across the 29 of their papers we have counts for
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math.MG2018★ 1 cited
Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures
Arseniy Akopyan, Roman Karasev
We study the Gromov waist in the sense of -neighborhoods for measures in the Euclidean space, motivated by the famous theorem of Gromov about the waist of radially symmetric Gau…
math.MG2018★ 3 cited
On the number of non-hexagons in a planar tiling
Arseniy Akopyan
We give a simple proof of T. Stehling's result, that in any normal tiling of the plane with convex polygons with number of sides not less than six, all tiles except the finite numb…
math.MG2018★ 7 cited
Convex fair partitions into an arbitrary number of pieces
Arseniy Akopyan, Sergey Avvakumov, Roman Karasev
We prove that any convex body in the plane can be partitioned into convex parts of equal areas and perimeters for any integer ; this result was previously known for pri…