@article{KS66,
  author = {Kesten, Harry and Stigum, Bernt P.},
  title = {Additional limit theorems for indecomposable multidimensional {Galton--Watson} processes},
  journal = {Annals of Mathematical Statistics},
  volume = {37},
  number = {6},
  pages = {1463--1481},
  year = {1966},
  doi = {10.1214/aoms/1177699139}
}

@article{Lyons90,
  author = {Lyons, Russell},
  title = {Random walks and percolation on trees},
  journal = {Annals of Probability},
  volume = {18},
  number = {3},
  pages = {931--958},
  year = {1990},
  doi = {10.1214/aop/1176990730}
}

@article{BRZ95,
  author = {Bleher, Pavel M. and Ruiz, Jean and Zagrebnov, Valentin A.},
  title = {On the purity of the limiting {Gibbs} state for the {Ising} model on the {Bethe} lattice},
  journal = {Journal of Statistical Physics},
  volume = {79},
  number = {1--2},
  pages = {473--482},
  year = {1995},
  doi = {10.1007/BF02179399}
}

@article{EKPS00,
  author = {Evans, William and Kenyon, Claire and Peres, Yuval and Schulman, Leonard J.},
  title = {Broadcasting on trees and the {Ising} model},
  journal = {Annals of Applied Probability},
  volume = {10},
  number = {2},
  pages = {410--433},
  year = {2000},
  doi = {10.1214/aoap/1019487349}
}

@article{Mossel01,
  author = {Mossel, Elchanan},
  title = {Reconstruction on trees: Beating the second eigenvalue},
  journal = {Annals of Applied Probability},
  volume = {11},
  number = {1},
  pages = {285--300},
  year = {2001},
  doi = {10.1214/aoap/998926994}
}

@article{MP03,
  author = {Mossel, Elchanan and Peres, Yuval},
  title = {Information flow on trees},
  journal = {Annals of Applied Probability},
  volume = {13},
  number = {3},
  pages = {817--844},
  year = {2003},
  doi = {10.1214/aoap/1060202828}
}

@article{MM06,
  author = {M{\'e}zard, Marc and Montanari, Andrea},
  title = {Reconstruction on trees and spin glass transition},
  journal = {Journal of Statistical Physics},
  volume = {124},
  number = {6},
  pages = {1317--1350},
  year = {2006},
  doi = {10.1007/s10955-006-9162-3}
}

@article{JM04,
  author = {Janson, Svante and Mossel, Elchanan},
  title = {Robust reconstruction on trees is determined by the second eigenvalue},
  journal = {Annals of Probability},
  volume = {32},
  number = {3B},
  pages = {2630--2649},
  year = {2004},
  doi = {10.1214/009117904000000153}
}

@article{PP10,
  author = {Pemantle, Robin and Peres, Yuval},
  title = {The critical {Ising} model on trees, concave recursions and nonlinear capacity},
  journal = {Annals of Probability},
  volume = {38},
  number = {1},
  pages = {184--206},
  year = {2010},
  doi = {10.1214/09-AOP482}
}

@article{Sly11,
  author = {Sly, Allan},
  title = {Reconstruction for the {Potts} model},
  journal = {Annals of Probability},
  volume = {39},
  number = {4},
  pages = {1365--1406},
  year = {2011},
  doi = {10.1214/10-AOP584}
}

@article{MSS25,
  author = {Mossel, Elchanan and Sly, Allan and Sohn, Youngtak},
  title = {Exact phase transitions for stochastic block models and reconstruction on trees},
  journal = {Annals of Probability},
  volume = {53},
  number = {3},
  pages = {967--1018},
  year = {2025},
  doi = {10.1214/24-AOP1723},
  note = {Author preprint: arXiv:2212.03362}
}

@misc{OpenAI26Potts,
  author = {{OpenAI}},
  title = {{The Reconstruction Threshold for the Ferromagnetic Four-State Potts Model}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/The-Reconstruction-Threshold-for-the-Ferromagnetic-Four-State-Potts-Model-October-5-2026/four-state-potts.pdf}{OAI:The-Reconstruction-Threshold-for-the-Ferromagnetic-Four-State-Potts-Model-October-5-2026}},
  year = {2026}
}