@article{CDM2015,
  author = {Colombo, Maria and Di Marino, Simone},
  title = {Equality between {Monge} and {Kantorovich} multimarginal problems with {Coulomb} cost},
  journal = {Annali di Matematica Pura ed Applicata},
  volume = {194},
  pages = {307--320},
  year = {2015},
  doi = {10.1007/s10231-013-0376-0},
  note = {\href{https://doi.org/10.1007/s10231-013-0376-0}{doi:10.1007/s10231-013-0376-0}.
          Author version, April 11, 2013: \url{https://cvgmt.sns.it/media/doc/paper/2127/MultiColDim.pdf}}
}

@article{CS2016,
  author = {Colombo, Maria and Stra, Federico},
  title = {Counterexamples in multimarginal optimal transport with {Coulomb} cost and spherically symmetric data},
  journal = {Mathematical Models and Methods in Applied Sciences},
  volume = {26},
  number = {6},
  pages = {1025--1049},
  year = {2016},
  doi = {10.1142/S021820251650024X},
  note = {\href{https://doi.org/10.1142/S021820251650024X}{doi:10.1142/S021820251650024X}}
}

@incollection{FGG2023,
  author = {Friesecke, Gero and Gerolin, Augusto and Gori-Giorgi, Paola},
  title = {The strong-interaction limit of density functional theory},
  editor = {Canc{\`e}s, Eric and Friesecke, Gero},
  booktitle = {Density Functional Theory: Modeling, Mathematical Analysis, Computational Methods, and Applications},
  series = {Mathematics and Molecular Modeling},
  publisher = {Springer},
  address = {Cham},
  pages = {183--266},
  year = {2023},
  doi = {10.1007/978-3-031-22340-2_4},
  note = {\href{https://doi.org/10.1007/978-3-031-22340-2_4}{doi:10.1007/978-3-031-22340-2\_4}.
          Preprint version (2022): \href{https://arxiv.org/abs/2202.09760v1}{arXiv:2202.09760v1}}
}

@article{GKR2019,
  author = {Gerolin, Augusto and Kausamo, Anna and Rajala, Tapio},
  title = {Nonexistence of optimal transport maps for the multimarginal repulsive harmonic cost},
  journal = {SIAM Journal on Mathematical Analysis},
  volume = {51},
  number = {3},
  pages = {2359--2371},
  year = {2019},
  doi = {10.1137/18M1186514},
  note = {\href{https://doi.org/10.1137/18M1186514}{doi:10.1137/18M1186514}}
}

@article{CFK2013,
  author = {Cotar, Codina and Friesecke, Gero and Kl{\"u}ppelberg, Claudia},
  title = {Density Functional Theory and Optimal Transportation with {Coulomb} Cost},
  journal = {Communications on Pure and Applied Mathematics},
  volume = {66},
  number = {4},
  pages = {548--599},
  year = {2013},
  doi = {10.1002/cpa.21437},
  note = {\href{https://doi.org/10.1002/cpa.21437}{doi:10.1002/cpa.21437}.
          Preprint: \href{https://arxiv.org/abs/1104.0603v1}{arXiv:1104.0603v1}}
}

@article{CDDM2015,
  author = {Colombo, Maria and De Pascale, Luigi and Di Marino, Simone},
  title = {Multimarginal Optimal Transport Maps for One-dimensional Repulsive Costs},
  journal = {Canadian Journal of Mathematics},
  volume = {67},
  number = {2},
  pages = {350--368},
  year = {2015},
  doi = {10.4153/CJM-2014-011-x},
  note = {\href{https://doi.org/10.4153/CJM-2014-011-x}{doi:10.4153/CJM-2014-011-x}}
}

@article{Pass2013,
  author = {Pass, Brendan},
  title = {Remarks on the semi-classical {Hohenberg--Kohn} functional},
  journal = {Nonlinearity},
  volume = {26},
  number = {9},
  pages = {2731--2744},
  year = {2013},
  doi = {10.1088/0951-7715/26/9/2731},
  note = {\href{https://doi.org/10.1088/0951-7715/26/9/2731}{doi:10.1088/0951-7715/26/9/2731}.
          Preprint: \href{https://arxiv.org/abs/1211.2766}{arXiv:1211.2766}}
}


@article{BDK2022,
  author = {Bindini, Ugo and De Pascale, Luigi and Kausamo, Anna},
  title = {On deterministic solutions for multi-marginal optimal transport with {Coulomb} cost},
  journal = {Communications on Pure and Applied Analysis},
  volume = {21},
  number = {4},
  pages = {1189--1208},
  year = {2022},
  doi = {10.3934/cpaa.2022015},
  note = {\href{https://doi.org/10.3934/cpaa.2022015}{doi:10.3934/cpaa.2022015}.
          Preprint: \href{https://arxiv.org/abs/2011.05063v2}{arXiv:2011.05063v2}}
}

@misc{Friesecke2026,
  author = {Friesecke, Gero},
  title = {Mass splitting in the time-discrete generalized {Euler} equations and non-{Monge} solutions in multi-marginal optimal transport},
  year = {2026},
  note = {\href{https://arxiv.org/abs/2601.02616v1}{arXiv:2601.02616v1}}
}

@article{SGS2007,
  author = {Seidl, Michael and Gori-Giorgi, Paola and Savin, Andreas},
  title = {Strictly correlated electrons in density-functional theory: A general formulation with applications to spherical densities},
  journal = {Physical Review A},
  volume = {75},
  number = {4},
  pages = {042511},
  year = {2007},
  doi = {10.1103/PhysRevA.75.042511},
  note = {\href{https://arxiv.org/abs/cond-mat/0701025v2}{arXiv:cond-mat/0701025v2}}
}

@article{Rosenblatt1952,
  author = {Rosenblatt, Murray},
  title = {Remarks on a Multivariate Transformation},
  journal = {The Annals of Mathematical Statistics},
  volume = {23},
  number = {3},
  pages = {470--472},
  year = {1952},
  doi = {10.1214/aoms/1177729394},
  note = {\href{https://doi.org/10.1214/aoms/1177729394}{doi:10.1214/aoms/1177729394}}
}
