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-03536401v1
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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-04154453v3
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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-03852245v1

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-04698997v1
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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, ⟨10.1142/s0218202519500283⟩

Article dans une revue hal-01848370v4
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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-01621311v2
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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-01096124v1
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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-01148954v2
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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-04895784v1
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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-05020023v1
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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-05157120v2
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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-04525602v1
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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-04131066v2
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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-04668323v3
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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-04009262v1
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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-03912268v2
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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-03508911v3
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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-03792102v1

Variational problems involving unequal dimensional optimal transport

Luca Nenna , Brendan Pass

2019

Pré-publication, Document de travail hal-02088040v1
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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-01469822v1
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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-01363468v1
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Optimal transportation theory with repulsive costs

Simone Di Marino , Augusto Gerolin , Luca Nenna

2015

Pré-publication, Document de travail hal-01163737v2
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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-01471589v1
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On some generalisations of Optimal Transport problem

Luca Nenna

Optimization and Control [math.OC]. Paris Saclay University, 2024

HDR tel-04554531v1