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math.MG2021
Rigidity for measurable sets
Dorin Bucur, Ilaria Fragalà
Let be a set with finite Lebesgue measure such that, for a fixed radius , the Lebesgue measure of is equal to a positive constant when…
math.MG2017
Proof of the Honeycomb Asymptotics for Optimal Cheeger Clusters
Dorin Bucur, Ilaria Fragala
We prove that, in the limit as , the hexagonal honeycomb solves the optimal partition problem in which the criterion is minimizing the largest among the Cheeger cons…