36 citations · 112 across the 19 of their papers we have counts for
4 papers · 1 filter
Infinitesimal Hilbertianity of locally CAT()-spaces
Simone Di Marino, Nicola Gigli, Enrico Pasqualetto +1
We show that, given a metric space of curvature bounded from above in the sense of Alexandrov, and a positive Radon measure on giving finite mass to bounded sets, t…
An entropy minimization approach to second-order variational mean-field games
Jean-David Benamou, Guillaume Carlier, Simone Di Marino +1
We propose a new viewpoint on variational mean-field games with diffusion and quadratic Hamiltonian. We show the equivalence of such mean-field games with a relative entropy minimi…
New characterizations of Sobolev metric spaces
Simone Di Marino, Marco Squassina
We provide new characterizations of Sobolev ad BV spaces in doubling and Poincare metric spaces in the spirit of the Bourgain-Brezis-Mironescu and Nguyen limit formulas holding in…
Linear Lipschitz and extension operators through random projection
Elia Bruè, Simone Di Marino, Federico Stra
We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and functions. This way we prove more directl…