S. Karam

activity

20132026

most citedMacroscopic Schoen conjecture for manifolds with non-zero simplicial volume

9 citations · 19 across the 4 of their papers we have counts for

collaborators

Showing 2026Show all

2 papers · 1 filter

math.DG2026

Macroscopic scalar curvature bounds on graphs

Steve Karam, Stéphane Sabourau

We establish sharp lower bounds for the lengths of balls in the universal covers of finite metric graphs. For a finite connected $d$ -regular graph, with $d \geq 3$ and average edge…

math.DG2026

Ball growth at all scales in universal covers of short metric graphs

Steve Karam

Let $Γ$ be a connected metric graph of first Betti number $b \geq 2$ , and let $Γ_{b}$ be a trivalent graph of the same Betti number with all edges of unit length. We show that if $\tex…