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math.DG2024
Optimal quantitative stability of the Möbius group of the sphere in all dimensions
André Guerra, Xavier Lamy, Konstantinos Zemas
In any dimension , we prove an optimal stability estimate for the Möbius group among maps , of the form $\inf_{λ>0,ϕ\in \mathrm{Mö…
math.DG2023
On the optimal conformal capacity of linked curves
André Guerra, Eden Prywes
We investigate the following optimization problem: what is the least possible conformal capacity of a pair of linked curves in ? A natural conjecture, due to Gehring, Martin a…