# Publications

**[1]**Existence and uniqueness of Monge minimizers for a Multi-marginal Optimal Transport problem with intermolecular interactions cost (2024)

*(with , M. Petrache, A. Vargas-Jimenez)*, pre-print

**[2]**Non-commutative Optimal Transport for semi-definite positive matrices (2023)

*(with , N. Monina)*, pre-print

**[3]**Universal diagonal estimates for minimizers of the Levy-Lieb functional (2023)

*(with S. Di Marino, L. Nenna)*, pre-print

**[4]**A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature (2023)

*(with D. Feliciangeli, L. Portinale)*, Journal of Functional Analysis

**[5]**Density Functionals based on the mathematical structure of the strong-interaction limit of DFT (2022)

*(with H. Bahmann, G. Friesecke, P. Gori-Giorgi, . Timothy J. Daas, S. Vuckovic)*, pre-print

**[6]**The strong-interaction limit of density functional theory (2022)

*(with G. Friesecke, P. Gori-Giorgi)*, pre-print

**[7]**Optimal Transport losses and Sinkhorn algorithm with general convex regularization (2020)

*(with S. Di Marino)*, pre-print

**[8]**Learning normalizing flows from Entropy-Kantorovich potentials (2020)

*(with . Adam M Oberman, C. Finlay, A. Pooladian)*, pre-print

**[9]**Entropy-Regularized $2$-Wasserstein Distance between Gaussian Measures (2020)

*(with , . Hà Quang Minh, A. Mallasto)*, pre-print

**[10]**Kinetic correlation functionals from the entropic regularisation of the strictly-correlated electrons problem (2020)

*(with , P. Gori-Giorgi, J. Grossi)*, J. Chem. Theory Comput.

**[11]**Multi-marginal Entropy-Transport with repulsive cost (2020)

*(with , A. Kausamo, T. Rajala)*, Calculus of Variations and Partial Differential Equations

**[12]**How Well Do WGANs Estimate the Wasserstein Metric? (2019)

*(with , A. Mallasto, G. Montúfar)*, pre-print

**[13]**An Optimal Transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm (2019)

*(with S. Di Marino)*, pre-print

**[14]**Non-existence of optimal transport maps for the multi-marginal repulsive harmonic cost (2019)

*(with , A. Kausamo, T. Rajala)*, SIAM Journal on Mathematical Analysis

**[15]**Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces (2019)

*(with , A. Kausamo, T. Rajala)*, ESAIM: COCV

**[16]**The strictly-correlated electron functional for spherically symmetric systems revisited (2017)

*(with S. Di Marino, K. Giesbertz, P. Gori-Giorgi, L. Nenna, M. Seidl)*, pre-print

**[17]**Optimal transportation theory for repulsive costs (2017)

*(with S. Di Marino, L. Nenna)*, Topological Optimization and Optimal Transport In the Applied Sciences

**[18]**The adiabatic strictly-correlated-electrons functional: kernel and exact properties (2016)

*(with S. Di Marino, P. Gori-Giorgi, G. Lani, R. van Leeuwen)*, Physical Chemistry Chemical Physics

**[19]**Optimal Potentials for Schrödinger Operators (2013)

*(with G. Buttazzo, B. Ruffini, B. Velichkov)*, J. Éc. polytech. Math.