Nenna Luca Maître de conferences au LMO

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.

Publications

Article dans une revue (7)

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
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
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
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
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
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

Chapitre d'ouvrage (1)

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

Pré-publication, Document de travail (14)

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
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
Convergence rates for regularized unbalanced optimal transport: the discrete case Luca Nenna,Paul Pegon,Louis Tocquec 2025 Pré-publication, Document de travail hal-05157120v2
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
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
A sparse approximation of the Lieb functional with moment constraints Virginie Ehrlacher,Luca Nenna 2024 Pré-publication, Document de travail hal-04131066v2
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
AN ODE CHARACTERISATION OF MULTI-MARGINAL OPTIMAL TRANSPORT WITH PAIRWISE COST FUNCTIONS Luca Nenna,Brendan Pass 2023 Pré-publication, Document de travail hal-03912268v2
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
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
The strictly-correlated electron functional for spherically symmetric systems revisited Michael Seidl,Simone Di Marino,Augusto Gerolin,Luca Nenna,Klaas J H Giesbertzet al. 2017 Pré-publication, Document de travail hal-01469822v1
Computation of Cournot-Nash equilibria by entropic regularization Adrien Blanchet,Guillaume Carlier,Luca Nenna 2016 Pré-publication, Document de travail hal-01363468v1
Optimal transportation theory with repulsive costs Simone Di Marino,Augusto Gerolin,Luca Nenna 2015 Pré-publication, Document de travail hal-01163737v2

Thèse (1)

Numerical Methods for Multi-Marginal Optimal Transportation Luca Nenna Probability [math.PR]. Université Paris sciences et lettres, 2016. English. ⟨NNT : 2016PSLED017⟩ Thèse tel-01471589v1

HDR (1)

On some generalisations of Optimal Transport problem Luca Nenna Optimization and Control [math.OC]. Paris Saclay University, 2024 HDR tel-04554531v1