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math.PR2023★ 1 cited
On the concave one-dimensional random assignment problem and Young integration theory
Michael Goldman, Dario Trevisan
We investigate the one-dimensional random assignment problem in the concave case, i.e., the assignment cost is a concave power function, with exponent , of the distance betw…
math.AP2023
From energy bounds to dimensional estimates in a branched transport model for type-I superconductors
Guido De Philippis, Michael Goldman, Berardo Ruffini
We consider a branched transport type problem which describes the magnetic flux through type-I superconductors in a regime of very weak applied fields. At the boundary of the sampl…