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 2021Show all

2 papers · 1 filter

math.DG2021★ 1 cited

Macroscopic scalar curvature and codimension 2 width

Hannah Alpert, Alexey Balitskiy, Larry Guth

We show that a complete -dimensional Riemannian manifold with finitely generated first homology has macroscopic dimension if it satisfies the following "macroscopic curv…

math.MG2021

Systolic inequalities for the number of vertices

Sergey Avvakumov, Alexey Balitskiy, Alfredo Hubard +1

Inspired by the classical Riemannian systolic inequality of Gromov we present a combinatorial analogue providing a lower bound on the number of vertices of a simplicial complex in…