Publications

Simone Di Marino, Mathieu Lewin, Luca Nenna (2024). The ground state energy is not always convex in the number of electrons. journal article.

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Jean-David Benamou, Guillaume Carlier, Marco Cuturi, Luca Nenna, Gabriel Peyré (2024). A numerical method for regularized transportation problems. Frontiers of Science Award Paper.

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Luigi De Pascale, Luca Nenna (2024). A variational formulation of a Multi-Population Mean Field Games with non-local interactions. preprint.

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Joshua Zoen-Git Hiew, Luca Nenna, Brendan Pass (2024). An ordinary differential equation for entropic optimal transport and its linearly constrained variants. preprint.

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Luca Nenna, Paul Pegon (2023). Convergence rate of entropy-regularized multi-marginal optimal transport costs. Canadian Journal of Mathematics.

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Virginie Ehrlacher, Luca Nenna (2023). A sparse approximation of the Lieb functional with moment constraints. preprint.

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Simone Di Marino, Augusto Gerolin, Luca Nenna (2023). Universal diagonal estimates for minimizers of the Levy-Lieb functional. preprint.

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Hamza Ennaji, Quentin Méirgot, Luca Nenna, Brendan Pass (2022). Robust risk management via multi-marginal optimal transport. preprint.

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Luca Nenna, Brendan Pass (2022). An ODE characterisation of multi-marginal optimal transport. preprint.

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Luca Nenna, Brendan Pass (2022). A note on Cournot-Nash equilibria and Optimal Transport between unequal dimensions. preprint.

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Simone Di Marino, Mathieu Lewin, Luca Nenna (2022). Grand-Canonical Optimal Transport. preprint.

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Luca Nenna, Brendan Pass (2022). Transport type metrics on the space of probability measures involving singular base measures. to appear on Applied Mathematics and Optimization.

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Luca Nenna, Brendan Pass (2020). Variational problems involving unequal dimensional optimal transport. Journal de Mathématiques Pures et Appliquées.

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Jean-David Benamou, Guillaume Carlier, Simone Di Marino, Luca Nenna (2019). An entropy minimization approach to second-order variational mean-field games. Mathematical Models and Methods in Applied Sciences.

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Jean-David Benamou, Guillaume Carlier, Luca Nenna (2019). Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm. Numerische Mathematik.

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Simone Di Marino, Augusto Gerolin, Luca Nenna (2017). Optimal transportation theory with repulsive costs. Topological optimization and optimal transport.

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Michael Seidl, Simone Di Marino, Augusto Gerolin, Luca Nenna, Klaas JH Giesbertz, Paola Gori-Giorgi (2017). The strictly-correlated electron functional for spherically symmetric systems revisited. to appear in Physical Review A.

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Luca Nenna (2016). Numerical methods for multi-marginal optimal transportation. Ph.D. Thesis.

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Adrien Blanchet, Guillaume Carlier, Luca Nenna (2016). Computation of Cournot–Nash Equilibria by Entropic Regularization. Vietnam Journal of Mathematics.

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Jean-David Benamou, Guillaume Carlier, Luca Nenna (2016). A Numerical Method to solve Multi-Marginal Optimal Transport Problems with Coulomb Cost. Splitting Mathods in Communication, Imaging, Science, and Engineering.

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Jean-David Benamou, Guillaume Carlier, Marco Cuturi, Luca Nenna, Gabriel Peyré (2015). Iterative Bregman projections for regularized transportation problems. SIAM Journal on Scientific Computing.

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