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math.CA2023
Stability of the Faber-Krahn inequality for the Short-time Fourier Transform
Jaime Gómez, André Guerra, João P. G. Ramos +1
We prove a sharp quantitative version of the Faber--Krahn inequality for the short-time Fourier transform (STFT). To do so, we consider a deficit which measures by how muc…
math.AP2023★ 1 cited
Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension
André Guerra, Xavier Lamy, Konstantinos Zemas
In this work we prove a sharp quantitative form of Liouville's theorem, which asserts that, for all , the weakly conformal maps of with degree ar…
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…