G. Buttazzo, A. Gerolin, B. Ruffini, B. Velichkov:
Optimal Potentials for Schrödinger Operators
J. Éc. polytech. Math. 2013

S. Di Marino, A. Gerolin, P. Gori-Giorgi, G. Lani, R. van Leeuwen:
The adiabatic strictly-correlated-electrons functional: kernel and exact  properties
Physical Chemistry Chemical Physics 2016

S. Di Marino, A. Gerolin, K. Giesbertz, P. Gori-Giorgi, L. Nenna, M. Seidl:
The strictly-correlated electron functional for spherically symmetric systems revisited
(Submitted Paper) http://arxiv.org/abs/1702.05022 2017

S. Di Marino, A. Gerolin, L. Nenna:
Optimal transportation theory for repulsive costs
Topological Optimization and Optimal Transport  In the Applied Sciences 2017

A. Gerolin, A. Kausamo, T. Rajala:
Non-existence of optimal transport maps for the multi-marginal repulsive  harmonic cost
SIAM Journal on Mathematical Analysis Vol. 51, N. 3, p. 23592371, 2019

S. Di Marino, A. Gerolin:
An Optimal Transport approach for the Schrödinger bridge problem and
  convergence of Sinkhorn algorithm
(preprint) http://arxiv.org/abs/1911.06850 2019

A. Gerolin, A. Kausamo, T. Rajala:
Duality theory for multi-marginal optimal transport with repulsive costs  in metric spaces
ESAIM: COCV Vol. 25, N. 62, 2019

A. Gerolin, A. Mallasto, G. Montúfar:
How Well Do WGANs Estimate the Wasserstein Metric?
(preprint) http://arxiv.org/abs/1910.03875 2019

A. Gerolin, P. Gori-Giorgi, J. Grossi:
Kinetic correlation functionals from the entropic regularisation of the  strictly-correlated electrons problem
J. Chem. Theory Comput. Vol. 16, N. 1, p. 488498, 2020

A. Gerolin, A. Kausamo, T. Rajala:
Multi-marginal Entropy-Transport with repulsive cost
Calculus of Variations and Partial Differential Equations Vol. 59, N. 90, 2020

Adam M Oberman, C. Finlay, A. Gerolin, A. A. Pooladian:
Learning normalizing flows from Entropy-Kantorovich potentials
(preprint) http://arxiv.org/abs/2006.06033 2020

A. Gerolin, Hà Quang Minh, A. Mallasto:
Entropy-Regularized $2$-Wasserstein Distance between Gaussian Measures
(preprint) http://arxiv.org/abs/2006.03416 2020

S. Di Marino, A. Gerolin:
Optimal Transport losses and Sinkhorn algorithm with general convex
  regularization
(preprint) http://arxiv.org/abs/2007.00976 2020

G. Friesecke, A. Gerolin, P. Gori-Giorgi:
The strong-interaction limit of density functional theory
(Preprint) http://arxiv.org/abs/2202.09760 2022

H. Bahmann, G. Friesecke, A. Gerolin, P. Gori-Giorgi, Timothy J. Daas, S. Vuckovic:
Density Functionals based on the mathematical structure of the
  strong-interaction limit of DFT
(preprint) http://arxiv.org/abs/2204.10769 2022

S. Di Marino, A. Gerolin, L. Nenna:
Universal diagonal estimates for minimizers of the Levy-Lieb functional
Letters in Mathematical Physics (Accepted Paper) http://arxiv.org/abs/2303.00496 Vol. 113, N. 105, p. 17, 2023

D. Feliciangeli, A. Gerolin, L. Portinale:
A Non-Commutative Entropic Optimal Transport Approach to Quantum  Composite Systems at Positive Temperature
Journal of Functional Analysis 2023

A. Gerolin, N. Monina:
Non-commutative Optimal Transport for semi-definite positive matrices
(preprint) http://arxiv.org/abs/2309.04846 2023

A. Gerolin, M. Petrache, A. Vargas-Jimenez:
Existence and uniqueness of Monge minimizers for a Multi-marginal
  Optimal Transport problem with intermolecular interactions cost
(preprint) http://arxiv.org/abs/2401.07880 2024

E. Caputo, A. Gerolin, N. Monina, L. Portinale:
Quantum optimal transport with convex regularization
(preprint) http://arxiv.org/abs/2409.03698 2024

S. Baasandorj, S. Di Marino, A. Gerolin:
$C^{1,}$-regularity for Schrödinger potentials of
  Shannon-entropy regularized Optimal Transport
(preprint) http://arxiv.org/abs/2506.09302 2025