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econ.GN2022
On the notion of measurable utility on a connected and separable topological space: an order isomorphism theorem
Gianmarco Caldini
The aim of this article is to define a notion of cardinal utility function called measurable utility and to define it on a connected and separable subset of a weakly ordered topolo…
math.DG2022
Well-posedness properties of geometric variational problems: existence, regularity and uniqueness results
Gianmarco Caldini
This thesis is devoted to the study of well-posedness properties of some geometric variational problems: existence, regularity and uniqueness of solutions. We study two specific pr…
math.AP2022
Generic uniqueness of optimal transportation networks
Gianmarco Caldini, Andrea Marchese, Simone Steinbrüchel
We prove that for the generic boundary, in the sense of Baire categories, there exists a unique minimizer of the associated optimal branched transportation problem.