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2025
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Simone Di Marino
,
Mathieu Lewin
,
Luca Nenna
(2025).
Grand-Canonical Optimal Transport
. Arch. Rat. Mech. Anal..
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Luca Nenna
,
Brendan Pass
(2025).
An ODE characterisation of multi-marginal optimal transport
. IMA Journal of Numerical Analysis.
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Hamza Ennaji
,
Quentin Méirgot
,
Luca Nenna
,
Brendan Pass
(2024).
Robust risk management via multi-marginal optimal transport
. Journal of Optimization Theory and Applications, 1-28.
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Simone Di Marino
,
Mathieu Lewin
,
Luca Nenna
(2024).
The ground state energy is not always convex in the number of electrons
. J. Phys. Chem. A, 128(49):10697–10706, November 2024.
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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
,
Brendan Pass
(2023).
A note on Cournot-Nash equilibria and Optimal Transport between unequal dimensions
. Optimal Transport Statistics for Economics and Related Topics, 117-130.
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Luca Nenna
,
Paul Pegon
(2023).
Convergence rate of entropy-regularized multi-marginal optimal transport costs
. Canadian Journal of Mathematics, 1-21.
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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
. Letters in Mathematical Physics 113 (5), 105.
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Luca Nenna
,
Brendan Pass
(2022).
Transport type metrics on the space of probability measures involving singular base measures
. Applied Mathematics & Optimization 87 (2), 28.
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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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