@incollection{Schramm2007,
  author = {Schramm, Oded},
  title = {Conformally invariant scaling limits: an overview and a collection of problems},
  booktitle = {Proceedings of the International Congress of Mathematicians, Madrid, 2006},
  volume = {I},
  editor = {Sanz-Sol{\'e}, Marta and Soria, Javier and Varona, Juan L. and Verdera, Joan},
  publisher = {European Mathematical Society},
  address = {Z{\"u}rich},
  year = {2007},
  pages = {513--543},
  doi = {10.4171/022-1/20},
  note = {\href{https://arxiv.org/abs/math/0602151v2}{arXiv:math/0602151v2}, Problem~2.2}
}

@article{DGPS2021,
  author = {Duminil-Copin, Hugo and Glazman, Alexander and Peled, Ron and Spinka, Yinon},
  title = {Macroscopic loops in the loop {$O(n)$} model at {Nienhuis'} critical point},
  journal = {Journal of the European Mathematical Society},
  volume = {23},
  number = {1},
  year = {2021},
  pages = {315--347},
  doi = {10.4171/JEMS/1012}
}

@article{GM2021,
  author = {Glazman, Alexander and Manolescu, Ioan},
  title = {Uniform {Lipschitz} functions on the triangular lattice have logarithmic variations},
  journal = {Communications in Mathematical Physics},
  volume = {381},
  number = {3},
  year = {2021},
  pages = {1153--1221},
  doi = {10.1007/s00220-020-03920-z},
  note = {Revised version: \href{https://arxiv.org/abs/1810.05592v3}{arXiv:1810.05592v3} (2023)}
}

@article{GL2025,
  author = {Glazman, Alexander and Lammers, Piet},
  title = {Delocalisation and continuity in {2D}: loop {$O(2)$}, six-vertex, and random-cluster models},
  journal = {Communications in Mathematical Physics},
  volume = {406},
  number = {5},
  year = {2025},
  pages = {Article 108},
  doi = {10.1007/s00220-025-05259-9},
  note = {All numbered statements cited here refer to
    \href{https://arxiv.org/abs/2306.01527v3}{arXiv:2306.01527v3}
    (27 October 2023), in particular Appendix~A, equation~(55)}
}

@article{KlartagLehec2019,
  author = {Klartag, Bo'az and Lehec, Joseph},
  title = {Poisson processes and a log-concave {Bernstein} theorem},
  journal = {Studia Mathematica},
  volume = {247},
  number = {1},
  year = {2019},
  pages = {85--107},
  doi = {10.4064/sm180212-30-7},
  note = {\href{https://arxiv.org/abs/1802.04176v2}{arXiv:1802.04176v2}, Theorem~1.4}
}

@article{GRST2019,
  author = {Gozlan, Nathael and Roberto, Cyril and Samson, Paul-Marie and Tetali, Prasad},
  title = {Transport proofs of some discrete variants of the {Pr{\'e}kopa--Leindler} inequality},
  journal = {Annali della Scuola Normale Superiore di Pisa, Classe di Scienze},
  series = {5},
  volume = {22},
  number = {3},
  year = {2021},
  pages = {1207--1232},
  doi = {10.2422/2036-2145.201906_002},
  note = {Numbered citations refer to
    \href{https://arxiv.org/abs/1905.04038v1}{arXiv:1905.04038v1},
    in particular Theorem~3 and Theorem~8, equation~(9)}
}

@misc{UniformIntegerGFF,
  author = {{OpenAI}},
  title = {{The Gaussian free field limit of integer Lipschitz heights with two-arc boundary data}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/The-Gaussian-free-field-limit-of-integer-Lipschitz-heights-with-two-arc-boundary-data-September-25-2026/paper.pdf}{OAI:The-Gaussian-free-field-limit-of-integer-Lipschitz-heights-with-two-arc-boundary-data-September-25-2026}},
  year = {2026},
  note = {Sections~5, 7, 9, and 10}
}

@article{GKS1968,
  author  = {Kelly, D. G. and Sherman, S.},
  title   = {General {Griffiths}' Inequalities on Correlations in {Ising} Ferromagnets},
  journal = {Journal of Mathematical Physics},
  volume  = {9},
  number  = {3},
  pages   = {466--484},
  year    = {1968},
  doi     = {10.1063/1.1664600}
}

@article{FKG1971,
  author  = {Fortuin, C. M. and Kasteleyn, P. W. and Ginibre, J.},
  title   = {Correlation Inequalities on Some Partially Ordered Sets},
  journal = {Communications in Mathematical Physics},
  volume  = {22},
  pages   = {89--103},
  year    = {1971},
  doi     = {10.1007/BF01651330}
}

@article{Holley1974,
  author  = {Holley, Richard},
  title   = {Remarks on the {FKG} Inequalities},
  journal = {Communications in Mathematical Physics},
  volume  = {36},
  pages   = {227--231},
  year    = {1974},
  doi     = {10.1007/BF01645980}
}

@article{FILS1978,
  author = {Fr{\"o}hlich, J{\"u}rg and Israel, Robert and Lieb, Elliott H. and Simon, Barry},
  title = {Phase transitions and reflection positivity. {I}. {General} theory and long range lattice models},
  journal = {Communications in Mathematical Physics},
  volume = {62},
  year = {1978},
  pages = {1--34},
  doi = {10.1007/BF01940327}
}

@misc{Usui2012,
  author = {Usui, Kouta},
  title = {A Note on Reflection Positivity and the {Umezawa--Kamefuchi--K\"all\'en--Lehmann} Representation of Two Point Correlation Functions},
  year = {2012},
  note = {\href{https://arxiv.org/abs/1201.3415v3}{arXiv:1201.3415v3}, Sections 3--4}
}

@misc{DCKLM2026,
  author = {Duminil-Copin, Hugo and Kozlowski, Karol Kajetan and Lammers, Piet and Manolescu, Ioan},
  title = {Gaussian free field convergence of the six-vertex model with {$-1\le\Delta\le-1/2$}},
  year = {2026},
  note = {\href{https://arxiv.org/abs/2603.06268v1}{arXiv:2603.06268v1}, March 6, 2026}
}

@article{Kenyon2001,
  author = {Kenyon, Richard},
  title = {Dominos and the {Gaussian} Free Field},
  journal = {The Annals of Probability},
  volume = {29},
  number = {3},
  year = {2001},
  pages = {1128--1137},
  doi = {10.1214/aop/1015345599},
  note = {Numbered citations refer to
    \href{https://arxiv.org/abs/math-ph/0002027v1}{arXiv:math-ph/0002027v1}}
}

@misc{BalancedSixVertexGFF2026,
  author = {{OpenAI}},
  title = {{The Gaussian free field limit of the balanced six-vertex model with variance multiplier $1/\arcsin(c/2)$}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/The-Gaussian-free-field-limit-of-the-balanced-six-vertex-model-with-variance-multiplier-1-over-arcsin-c-over-2-September-23-2026/The-Gaussian-free-field-limit-of-the-balanced-six-vertex-model-with-variance-multiplier-1-over-arcsin-c-over-2-September-23-2026.pdf}{OAI:The-Gaussian-free-field-limit-of-the-balanced-six-vertex-model-with-variance-multiplier-1-over-arcsin-c-over-2-September-23-2026}},
  year = {2026}
}

@article{Nienhuis1982,
  author = {Nienhuis, Bernard},
  title = {Exact Critical Point and Critical Exponents of {$O(n)$} Models in Two Dimensions},
  journal = {Physical Review Letters},
  volume = {49},
  number = {15},
  pages = {1062--1065},
  year = {1982},
  doi = {10.1103/PhysRevLett.49.1062}
}

@misc{GHZ2025,
  author = {Glazman, Alexander and Harel, Matan and Zelesko, Nathan},
  title = {Planar percolation and the loop {$O(n)$} model},
  year = {2025},
  note = {\href{https://arxiv.org/abs/2508.20917v3}{arXiv:2508.20917v3},
    revised 19 April 2026}
}