-
Numerical solution of the second boundary value problem for the Elliptic Mong...
This paper introduces a numerical method for the solution of the nonlinear elliptic Monge-Ampére equation. The boundary conditions correspond to the optimal... -
Regularity in Monge's mass transfer problem
International audience -
Convexities and optimal transport problems on the Wiener space
The aim of this PhD is to study the optimal transportation theory in some abstract Wiener space. You can find the results in four main parts and they are aboutThe... -
Analytic formulas for complete hyperbolic affine spheres
International audience -
On the smoothness of the potential function in Riemannian optimal transport
Preprint (submitted 2013-08-01; revised 2014-03-05), 71 pages, to appear in Communications in Analysis and Geometry, Vol. 23, No. 1 (2015). The reference [Del03] quoted on p.63...
