3 citations · 3 across the 3 of their papers we have counts for
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A Modica-Mortola approximation for branched transport
Filippo Santambrogio
The M^αenergy which is usually minimized in branched transport problems among singular 1-dimensional rectifiable vector measures with prescribed divergence is approximated (and con…
From Knothe's transport to Brenier's map and a continuation method for optimal transport
Guillaume Carlier, Alfred Galichon, Filippo Santambrogio
A simple procedure to map two probability measures in is the so-called \emph{Knothe-Rosenblatt rearrangement}, which consists in rearranging monotonically the margin…
Optimal transportation with traffic congestion and Wardrop equilibria
G. Carlier, C. Jimenez, F. Santambrogio
In the classical Monge-Kantorovich problem, the transportation cost only depends on the amount of mass sent from sources to destinations and not on the paths followed by this mass.…
Transport and Concentration Problems with Interaction Effects
Filippo Santambrogio
After presenting an overview about variational problems on probability measures for functionals involving transport costs and extra terms encouraging or discouraging concentration,…