11 citations · 11 across the 2 of their papers we have counts for
4 papers
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…
Some results on Sobolev spaces with respect to a measure and applications to a new transport problem
Jean Louet
We recall some known and present several new results about Sobolev spaces defined with respect to a measure, in particular a precise pointwise description of the tangent space to t…
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…