11 citations · 28 across the 6 of their papers we have counts for
4 papers · 1 filter
A study of the dual problem of the one-dimensional L-infinity optimal transport problem with applications
Luigi De Pascale, Jean Louet
The Monge-Kantorovich problem for the infinite Wasserstein distance presents several peculiarities. Among them the lack of convexity and then of a direct duality. We study in dimen…
The entropic regularization of the Monge problem on the real line
Simone Di Marino, Jean Louet
We study the entropic regularization of the optimal transport problem in dimension 1 when the cost function is the distance c(x, y) = |y -- x|. The selected plan at the limit is, a…
On the continuity of the total cost in the mass transport problem with relativistic cost functions
Jean Louet, Aldo Pratelli, Florian Zeisler
In this paper we consider the mass transport problem in the case of a relativistic cost; we can establish the continuity of the total cost, together with a general estimate about t…
The Monge problem with vanishing gradient penalization: Vortices and asymptotic profile
Luigi De Pascale, Jean Louet, Filippo Santambrogio
We investigate the approximation of the Monge problem (minimizing \int\_ |T (x) -- x| d(x) among the vector-valued maps T with prescribed image measure T \# ) by adding a…