Nenna Luca

Maître de conferences au LMO
24
Documents
Affiliations actuelles
  • Laboratoire de Mathématiques d'Orsay (LMO)
  • Méthodes particulaires utilisant Monge-Ampère (PARMA)
Contact

Présentation

Hello! I am a maître de conférences HDR in applied mathematics (:= associate professor) in the department of Mathematics at Paris-Saclay University and a junior member of the I.U.F. (Institut Universitaire de France). My research interests lie at the intersection of Optimal Transport, Mathematical Physics, Mathematical Economics and Numerical Optimization.

Domaines de recherche

Optimisation et contrôle [math.OC] Physique mathématique [math-ph] Equations aux dérivées partielles [math.AP] Analyse numérique [math.NA]

Publications

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Publications

Grand-Canonical Optimal Transport

Simone Di Marino , Mathieu Lewin , Luca Nenna
Archive for Rational Mechanics and Analysis, 2025, 249, pp.art. 12. ⟨10.1007/s00205-024-02080-x⟩
Article dans une revue hal-03536401 v1
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Convergence rate of entropy-regularized multi-marginal optimal transport costs

Luca Nenna , Paul Pegon
Canadian Journal of Mathematics = Journal Canadien de Mathématiques, 2024, ⟨10.4153/S0008414X24000257⟩
Article dans une revue hal-04154453 v3
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Robust risk management via multi-marginal optimal transport

Hamza Ennaji , Quentin Mérigot , Luca Nenna , Brendan Pass
Journal of Optimization Theory and Applications, 2024, 202 (2), pp.554-581. ⟨10.1007/s10957-024-02438-x⟩
Article dans une revue hal-03852245 v1

Ground state energy is not always convex in the number of electrons

Simone Di Marino , Mathieu Lewin , Luca Nenna
Journal of Physical Chemistry A, 2024, 128 (49), pp.10697-10706. ⟨10.1021/acs.jpca.4c06345⟩
Article dans une revue hal-04698997 v1
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An entropy minimization approach to second-order variational mean-field games

Jean-David Benamou , Guillaume Carlier , Simone Di Marino , Luca Nenna
Mathematical Models and Methods in Applied Sciences, 2019
Article dans une revue hal-01848370 v4
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Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm

Jean-David Benamou , Guillaume Carlier , Luca Nenna
Numerische Mathematik, 2018
Article dans une revue hal-01621311 v2
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Iterative Bregman Projections for Regularized Transportation Problems

Jean-David Benamou , Guillaume Carlier , Marco Cuturi , Luca Nenna , Gabriel Peyré
SIAM Journal on Scientific Computing, 2015, 2 (37), pp.A1111-A1138. ⟨10.1137/141000439⟩
Article dans une revue hal-01096124 v1
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A Numerical Method to solve Optimal Transport Problems with Coulomb Cost

Jean-David Benamou , Guillaume Carlier , Luca Nenna
Splitting Methods in Communication, Imaging, Science, and Engineering, 2016
Chapitre d'ouvrage hal-01148954 v2
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Characterizing and computing solutions to regularized semi-discrete optimal transport via an ordinary differential equation

Luca Nenna , Daniyar Omarov , Brendan Pass
2025
Pré-publication, Document de travail hal-05020023 v1
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Large deviations for sticky-reflecting Brownian motion with boundary diffusion

Jean-Baptiste Casteras , Leonard Monsaingeon , Luca Nenna
2025
Pré-publication, Document de travail hal-04895784 v1
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Convergence rates for regularized unbalanced optimal transport: the discrete case

Luca Nenna , Paul Pegon , Louis Tocquec
2025
Pré-publication, Document de travail hal-05157120 v2
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An ordinary differential equation for entropic optimal transport and its linearly constrained variants

Joshua Hiew , Luca Nenna , Brendan Pass
2024
Pré-publication, Document de travail hal-04525602 v1
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A sparse approximation of the Lieb functional with moment constraints

Virginie Ehrlacher , Luca Nenna
2024
Pré-publication, Document de travail hal-04131066 v2
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A variational formulation of a Multi-Population Mean Field Games with non-local interactions

Luigi de Pascale , Luca Nenna
2025
Pré-publication, Document de travail hal-04668323 v3
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UNIVERSAL DIAGONAL ESTIMATES FOR MINIMIZERS OF THE LEVY-LIEB FUNCTIONAL

Simone Di Marino , Augusto Gerolin , Luca Nenna
2023
Pré-publication, Document de travail hal-04009262 v1
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AN ODE CHARACTERISATION OF MULTI-MARGINAL OPTIMAL TRANSPORT WITH PAIRWISE COST FUNCTIONS

Luca Nenna , Brendan Pass
2023
Pré-publication, Document de travail hal-03912268 v2
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A note on Cournot-Nash equilibria and Optimal Transport between unequal dimensions *

Luca Nenna , Brendan Pass
2022
Pré-publication, Document de travail hal-03792102 v1
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Transport type metrics on the space of probability measures involving singular base measures

Luca Nenna , Brendan Pass
2022
Pré-publication, Document de travail hal-03508911 v3

Variational problems involving unequal dimensional optimal transport

Luca Nenna , Brendan Pass
2019
Pré-publication, Document de travail hal-02088040 v1
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The strictly-correlated electron functional for spherically symmetric systems revisited

Michael Seidl , Simone Di Marino , Augusto Gerolin , Luca Nenna , Klaas J H Giesbertz et al.
2017
Pré-publication, Document de travail hal-01469822 v1
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Computation of Cournot-Nash equilibria by entropic regularization

Adrien Blanchet , Guillaume Carlier , Luca Nenna
2016
Pré-publication, Document de travail hal-01363468 v1
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Optimal transportation theory with repulsive costs

Simone Di Marino , Augusto Gerolin , Luca Nenna
2015
Pré-publication, Document de travail hal-01163737 v2
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Numerical Methods for Multi-Marginal Optimal Transportation

Luca Nenna
Probability [math.PR]. Université Paris sciences et lettres, 2016. English. ⟨NNT : 2016PSLED017⟩
Thèse tel-01471589 v1
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On some generalisations of Optimal Transport problem

Luca Nenna
Optimization and Control [math.OC]. Paris Saclay University, 2024
HDR tel-04554531 v1