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math.AP2024
A miscellanea of qualitative and symmetry properties of the solutions to the two-phase Serrin's problem
Lorenzo Cavallina
This paper investigates the solutions to the two-phase Serrin's problem, an overdetermined boundary value problem motivated by shape optimization. Specifically, we study the torsio…
math.OC2024
Visualizing Shape Functionals via Sinkhorn Multidimensional Scaling
Toshiaki Yachimura, Jun Okamoto, Lorenzo Cavallina
In this paper, we present Sinkhorn multidimensional scaling (Sinkhorn MDS) as a method for visualizing shape functionals in shape spaces. This approach uses the Sinkhorn divergence…