Optimal transport with Coulomb cost and the semiclassical limit of density functional theory

Author:

Bindini Ugo,De Pascale Luigi

Publisher

Cellule MathDoc/CEDRAM

Subject

General Mathematics

Reference13 articles.

1. [1] Ambrosio, L.; Gigli, N.; Savaré, G. Gradient flows in metric spaces and in the space of probability measures, Birkhäuser Verlag, Basel, Lectures in Mathematics ETH Zürich (2008)

2. [2] Bindini, U. Γ-convergence and optimal transportation in density functional theory, University of Pisa (2016) (Master Thesis)

3. [3] Braides, A. Γ-convergence for beginners, Oxford University Press, Oxford, Oxford Lecture Series in Mathematics and its Applications, Volume 22 (2002)

4. [4] Buttazzo, G.; Champion, T.; De Pascale, L. Continuity and estimates for multimarginal optimal transportation problems with singular costs, Appl. Math. Optim. (2017) (on-line first)

5. [5] Buttazzo, G.; De Pascale, L.; Gori-Giorgi, P. Optimal-transport formulation of electronic density-functional theory, Phys. Rev. A, Volume 85 (2012) no. 6 (#062502)

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