@article{Anderson1958absence,
  author  = {Anderson, Philip W.},
  title   = {Absence of Diffusion in Certain Random Lattices},
  journal = {Phys. Rev.},
  volume  = {109},
  number  = {5},
  pages   = {1492--1505},
  year    = {1958},
  doi     = {10.1103/PhysRev.109.1492}
}

@article{AbouChacraAndersonThouless1973,
  author  = {Abou-Chacra, Ragi and Thouless, David J. and Anderson, Philip W.},
  title   = {A selfconsistent theory of localization},
  journal = {J. Phys. C: Solid State Phys.},
  volume  = {6},
  number  = {10},
  pages   = {1734--1752},
  year    = {1973}
}

@article{KunzSouillard1983localization,
  author  = {Kunz, Herv{\'e} and Souillard, Bernard},
  title   = {The localization transition on the {B}ethe lattice},
  journal = {J. Physique Lett.},
  volume  = {44},
  number  = {11},
  pages   = {L411--L414},
  year    = {1983},
  doi     = {10.1051/jphyslet:019830044011041100}
}

@article{AizenmanMolchanov1993localization,
  author  = {Aizenman, Michael and Molchanov, Stanislav},
  title   = {Localization at large disorder and at extreme energies: an elementary derivation},
  journal = {Comm. Math. Phys.},
  volume  = {157},
  number  = {2},
  pages   = {245--278},
  year    = {1993}
}

@article{Aizenman1994localization,
  author  = {Aizenman, Michael},
  title   = {Localization at weak disorder: some elementary bounds},
  journal = {Rev. Math. Phys.},
  volume  = {6},
  number  = {5A},
  pages   = {1163--1182},
  year    = {1994},
  doi     = {10.1142/S0129055X94000419}
}

@article{Klein1994absolutely,
  author  = {Klein, Abel},
  title   = {Absolutely continuous spectrum in the {A}nderson model on the {B}ethe lattice},
  journal = {Math. Res. Lett.},
  volume  = {1},
  number  = {4},
  pages   = {399--407},
  year    = {1994}
}

@article{Klein1998extended,
  author  = {Klein, Abel},
  title   = {Extended states in the {A}nderson model on the {B}ethe lattice},
  journal = {Adv. Math.},
  volume  = {133},
  number  = {1},
  pages   = {163--184},
  year    = {1998}
}

@article{AizenmanSimsWarzel2006stability,
  author  = {Aizenman, Michael and Sims, Robert and Warzel, Simone},
  title   = {Stability of the absolutely continuous spectrum of random {S}chr{\"o}dinger operators on tree graphs},
  journal = {Probab. Theory Related Fields},
  volume  = {136},
  number  = {3},
  pages   = {363--394},
  year    = {2006},
  note    = {arXiv:math-ph/0502006}
}

@article{FroeseHaslerSpitzer2007absolutely,
  author  = {Froese, Richard and Hasler, David and Spitzer, Wolfgang},
  title   = {Absolutely continuous spectrum for the {A}nderson model on a tree: a geometric proof of {K}lein's theorem},
  journal = {Comm. Math. Phys.},
  volume  = {269},
  number  = {1},
  pages   = {239--257},
  year    = {2007},
  doi     = {10.1007/s00220-006-0120-3},
  note    = {arXiv:math-ph/0511050}
}

@article{AizenmanWarzel2011extended,
  author  = {Aizenman, Michael and Warzel, Simone},
  title   = {Extended states in a {L}ifshitz tail regime for random {S}chr{\"o}dinger operators on trees},
  journal = {Phys. Rev. Lett.},
  volume  = {106},
  number  = {13},
  pages   = {136804},
  year    = {2011},
  doi     = {10.1103/PhysRevLett.106.136804},
  note    = {arXiv:1010.2673}
}

@article{AizenmanWarzel2011absence,
  author  = {Aizenman, Michael and Warzel, Simone},
  title   = {Absence of mobility edge for the {A}nderson random potential on tree graphs at weak disorder},
  journal = {EPL (Europhys. Lett.)},
  volume  = {96},
  pages   = {37004},
  year    = {2011},
  doi     = {10.1209/0295-5075/96/37004},
  note    = {arXiv:1109.2210}
}

@article{AizenmanWarzel2013resonant,
  author  = {Aizenman, Michael and Warzel, Simone},
  title   = {Resonant delocalization for random {S}chr{\"o}dinger operators on tree graphs},
  journal = {J. Eur. Math. Soc. (JEMS)},
  volume  = {15},
  number  = {4},
  pages   = {1167--1222},
  year    = {2013},
  doi     = {10.4171/JEMS/389},
  note    = {arXiv:1104.0969}
}

@book{AizenmanWarzel2015random,
  author    = {Aizenman, Michael and Warzel, Simone},
  title     = {Random Operators: Disorder Effects on Quantum Spectra and Dynamics},
  series    = {Graduate Studies in Mathematics},
  volume    = {168},
  publisher = {American Mathematical Society, Providence, RI},
  year      = {2015}
}

@incollection{Warzel2013surprises,
  author    = {Warzel, Simone},
  title     = {Surprises in the phase diagram of the {A}nderson model on the {B}ethe lattice},
  booktitle = {XVIIth International Congress on Mathematical Physics},
  publisher = {World Scientific, Hackensack, NJ},
  pages     = {239--253},
  year      = {2013},
  doi       = {10.1142/9789814449243_0014},
  note      = {arXiv:1212.4367}
}

@article{Bapst2014large,
  author  = {Bapst, Victor},
  title   = {The large connectivity limit of the {A}nderson model on tree graphs},
  journal = {J. Math. Phys.},
  volume  = {55},
  number  = {9},
  pages   = {092101},
  year    = {2014},
  doi     = {10.1063/1.4894055},
  note    = {arXiv:1303.4908}
}

@article{KellerLenzWarzel2012absolutely,
  author  = {Keller, Matthias and Lenz, Daniel and Warzel, Simone},
  title   = {Absolutely continuous spectrum for random operators on trees of finite cone type},
  journal = {J. Anal. Math.},
  volume  = {118},
  number  = {1},
  pages   = {363--396},
  year    = {2012},
  note    = {arXiv:1108.0057}
}

@article{Keller2012absolutely,
  author  = {Keller, Matthias},
  title   = {Absolutely continuous spectrum for multi-type {G}alton {W}atson trees},
  journal = {Ann. Henri Poincar{\'e}},
  volume  = {13},
  number  = {8},
  pages   = {1745--1766},
  year    = {2012},
  doi     = {10.1007/s00023-012-0169-9},
  note    = {arXiv:1109.1959}
}

@article{ArrasBordenave2023existence,
  author  = {Arras, Adam and Bordenave, Charles},
  title   = {Existence of absolutely continuous spectrum for {G}alton--{W}atson random trees},
  journal = {Comm. Math. Phys.},
  volume  = {403},
  number  = {1},
  pages   = {495--527},
  year    = {2023},
  note    = {arXiv:2105.10177}
}

@article{BordenaveSenVirag2017mean,
  author  = {Bordenave, Charles and Sen, Arnab and Vir{\'a}g, B{\'a}lint},
  title   = {Mean quantum percolation},
  journal = {J. Eur. Math. Soc. (JEMS)},
  volume  = {19},
  number  = {12},
  pages   = {3679--3707},
  year    = {2017},
  doi     = {10.4171/JEMS/750},
  note    = {arXiv:1308.3755}
}

@article{Salez2015every,
  author  = {Salez, Justin},
  title   = {Every totally real algebraic integer is a tree eigenvalue},
  journal = {J. Combin. Theory Ser. B},
  volume  = {111},
  pages   = {249--256},
  year    = {2015},
  note    = {arXiv:1302.4423}
}

@article{Salez2020spectral,
  author  = {Salez, Justin},
  title   = {Spectral atoms of unimodular random trees},
  journal = {J. Eur. Math. Soc. (JEMS)},
  volume  = {22},
  number  = {2},
  pages   = {345--363},
  year    = {2020},
  note    = {arXiv:1609.09374}
}

@article{BhamidiEvansSen2012spectra,
  author  = {Bhamidi, Shankar and Evans, Steven N. and Sen, Arnab},
  title   = {Spectra of large random trees},
  journal = {J. Theoret. Probab.},
  volume  = {25},
  number  = {3},
  pages   = {613--654},
  year    = {2012},
  doi     = {10.1007/s10959-011-0360-9},
  note    = {arXiv:0903.3589}
}

@article{CosteSalez2021emergence,
  author  = {Coste, Simon and Salez, Justin},
  title   = {Emergence of extended states at zero in the spectrum of sparse random graphs},
  journal = {Ann. Probab.},
  volume  = {49},
  number  = {4},
  pages   = {2012--2030},
  year    = {2021},
  doi     = {10.1214/20-AOP1499},
  note    = {arXiv:1809.07587}
}

@article{BordenaveLelargeSalez2011rank,
  author  = {Bordenave, Charles and Lelarge, Marc and Salez, Justin},
  title   = {The rank of diluted random graphs},
  journal = {Ann. Probab.},
  volume  = {39},
  number  = {3},
  pages   = {1097--1121},
  year    = {2011},
  doi     = {10.1214/10-AOP567},
  note    = {arXiv:0907.4244}
}

@article{Bordenave2015quantum,
  author  = {Bordenave, Charles},
  title   = {On quantum percolation in finite regular graphs},
  journal = {Ann. Henri Poincar{\'e}},
  volume  = {16},
  number  = {11},
  pages   = {2465--2497},
  year    = {2015},
  doi     = {10.1007/s00023-014-0382-9},
  note    = {arXiv:1409.2000}
}

@article{ParisiPascazioPietracaprinaRosScardicchio2020anderson,
  author  = {Parisi, Giorgio and Pascazio, Saverio and Pietracaprina, Francesca and Ros, Valentina and Scardicchio, Antonello},
  title   = {Anderson transition on the {B}ethe lattice: an approach with real energies},
  journal = {J. Phys. A: Math. Theor.},
  volume  = {53},
  pages   = {014003},
  year    = {2020},
  doi     = {10.1088/1751-8121/ab56e8},
  note    = {arXiv:1812.03531}
}

@misc{AggarwalLopatto2025mobility,
  author = {Aggarwal, Amol and Lopatto, Patrick},
  title  = {Mobility edge for the {A}nderson model on the {B}ethe lattice},
  year   = {2025},
  note   = {Preprint, arXiv:2503.08949}
}

@misc{LiuLopatto2026mobility,
  author = {Liu, Suhan and Lopatto, Patrick},
  title  = {Mobility edge for the {A}nderson model on random regular graphs},
  year   = {2026},
  note   = {Preprint, arXiv:2603.14230}
}

@misc{DroginSmart2025regular,
  author = {Drogin, Reuben and Smart, Charles K.},
  title  = {The regular tree {A}nderson model at low disorder},
  year   = {2025},
  note   = {Preprint, arXiv:2511.10564}
}

@misc{JaksicLastWarzel2026note,
  author = {Jak{\v{s}}i{\'c}, Vojkan and Last, Yoram and Warzel, Simone},
  title  = {A note on extended states on the {B}ethe lattice},
  year   = {2026},
  note   = {Preprint, arXiv:2609.06987}
}

@misc{AggarwalBordenaveLopatto2022mobility,
  author = {Aggarwal, Amol and Bordenave, Charles and Lopatto, Patrick},
  title  = {Mobility edge for {L}{\'e}vy matrices},
  year   = {2022},
  note   = {Preprint, arXiv:2210.09458}
}

@article{BordenaveGuionnet2013localization,
  author  = {Bordenave, Charles and Guionnet, Alice},
  title   = {Localization and delocalization of eigenvectors for heavy-tailed random matrices},
  journal = {Probab. Theory Related Fields},
  volume  = {157},
  number  = {3-4},
  pages   = {885--953},
  year    = {2013},
  doi     = {10.1007/s00440-012-0473-9},
  note    = {arXiv:1201.1862}
}

@article{BordenaveGuionnet2017delocalization,
  author  = {Bordenave, Charles and Guionnet, Alice},
  title   = {Delocalization at small energy for heavy-tailed random matrices},
  journal = {Comm. Math. Phys.},
  volume  = {354},
  number  = {1},
  pages   = {115--159},
  year    = {2017},
  doi     = {10.1007/s00220-017-2914-x},
  note    = {arXiv:1603.08845}
}

@article{AggarwalLopattoYau2021goe,
  author  = {Aggarwal, Amol and Lopatto, Patrick and Yau, Horng-Tzer},
  title   = {{GOE} statistics for {L}{\'e}vy matrices},
  journal = {J. Eur. Math. Soc. (JEMS)},
  volume  = {23},
  number  = {11},
  pages   = {3707--3800},
  year    = {2021},
  doi     = {10.4171/JEMS/1089},
  note    = {arXiv:1806.07363}
}

@article{AggarwalLopattoMarcinek2021eigenvector,
  author  = {Aggarwal, Amol and Lopatto, Patrick and Marcinek, Jake},
  title   = {Eigenvector statistics of {L}{\'e}vy matrices},
  journal = {Ann. Probab.},
  volume  = {49},
  number  = {4},
  pages   = {1778--1846},
  year    = {2021},
  doi     = {10.1214/20-AOP1493},
  note    = {arXiv:2002.09355}
}

@article{BenArousGuionnet2008spectrum,
  author  = {Ben Arous, G{\'e}rard and Guionnet, Alice},
  title   = {The spectrum of heavy tailed random matrices},
  journal = {Comm. Math. Phys.},
  volume  = {278},
  number  = {3},
  pages   = {715--751},
  year    = {2008},
  doi     = {10.1007/s00220-007-0389-x},
  note    = {arXiv:0707.2159}
}

@article{BordenaveCaputoChafai2011spectrum,
  author  = {Bordenave, Charles and Caputo, Pietro and Chafa{\"\i}, Djalil},
  title   = {Spectrum of large random reversible {M}arkov chains: heavy-tailed weights on the complete graph},
  journal = {Ann. Probab.},
  volume  = {39},
  number  = {4},
  pages   = {1544--1590},
  year    = {2011},
  doi     = {10.1214/10-AOP587},
  note    = {arXiv:0903.3528}
}

@article{AltDucatezKnowles2021delocalization,
  author  = {Alt, Johannes and Ducatez, Rapha{\"e}l and Knowles, Antti},
  title   = {Delocalization transition for critical {E}rd{\H{o}}s--{R}{\'e}nyi graphs},
  journal = {Comm. Math. Phys.},
  volume  = {388},
  number  = {1},
  pages   = {507--579},
  year    = {2021},
  note    = {arXiv:2005.14180}
}

@article{AltDucatezKnowles2021extremal,
  author  = {Alt, Johannes and Ducatez, Rapha{\"e}l and Knowles, Antti},
  title   = {Extremal eigenvalues of critical {E}rd{\H{o}}s--{R}{\'e}nyi graphs},
  journal = {Ann. Probab.},
  volume  = {49},
  number  = {3},
  pages   = {1347--1401},
  year    = {2021},
  doi     = {10.1214/20-AOP1483},
  note    = {arXiv:1905.03243}
}

@article{AltDucatezKnowles2022completely,
  author  = {Alt, Johannes and Ducatez, Rapha{\"e}l and Knowles, Antti},
  title   = {The completely delocalized region of the {E}rd{\H{o}}s--{R}{\'e}nyi graph},
  journal = {Electron. Commun. Probab.},
  volume  = {27},
  pages   = {Paper No. 10, 9 pp.},
  year    = {2022},
  doi     = {10.1214/22-ECP450},
  note    = {arXiv:2109.03227}
}

@article{AltDucatezKnowles2023poisson,
  author  = {Alt, Johannes and Ducatez, Rapha{\"e}l and Knowles, Antti},
  title   = {Poisson statistics and localization at the spectral edge of sparse {E}rd{\H{o}}s--{R}{\'e}nyi graphs},
  journal = {Ann. Probab.},
  volume  = {51},
  number  = {1},
  pages   = {277--358},
  year    = {2023},
  doi     = {10.1214/22-AOP1596},
  note    = {arXiv:2106.12519}
}

@article{AltDucatezKnowles2024localized,
  author  = {Alt, Johannes and Ducatez, Rapha{\"e}l and Knowles, Antti},
  title   = {Localized phase for the {E}rd{\H{o}}s--{R}{\'e}nyi graph},
  journal = {Comm. Math. Phys.},
  volume  = {405},
  number  = {1},
  pages   = {Paper No. 9},
  year    = {2024},
  doi     = {10.1007/s00220-023-04918-z},
  note    = {arXiv:2305.16294}
}

@article{HeKnowlesMarcozzi2019local,
  author  = {He, Yukun and Knowles, Antti and Marcozzi, Matteo},
  title   = {Local law and complete eigenvector delocalization for supercritical {E}rd{\H{o}}s--{R}{\'e}nyi graphs},
  journal = {Ann. Probab.},
  volume  = {47},
  number  = {5},
  pages   = {3278--3302},
  year    = {2019},
  doi     = {10.1214/19-AOP1339},
  note    = {arXiv:1808.09437}
}

@article{ErdosKnowlesYauYin2013spectral,
  author  = {Erd{\H{o}}s, L{\'a}szl{\'o} and Knowles, Antti and Yau, Horng-Tzer and Yin, Jun},
  title   = {Spectral statistics of {E}rd{\H{o}}s--{R}{\'e}nyi graphs {I}: local semicircle law},
  journal = {Ann. Probab.},
  volume  = {41},
  number  = {3B},
  pages   = {2279--2375},
  year    = {2013},
  doi     = {10.1214/11-AOP734},
  note    = {arXiv:1103.1919}
}

@article{BenaychGeorgesBordenaveKnowles2019largest,
  author  = {Benaych-Georges, Florent and Bordenave, Charles and Knowles, Antti},
  title   = {Largest eigenvalues of sparse inhomogeneous {E}rd{\H{o}}s--{R}{\'e}nyi graphs},
  journal = {Ann. Probab.},
  volume  = {47},
  number  = {3},
  pages   = {1653--1676},
  year    = {2019},
  note    = {arXiv:1704.02953}
}

@article{BenaychGeorgesBordenaveKnowles2020spectral,
  author  = {Benaych-Georges, Florent and Bordenave, Charles and Knowles, Antti},
  title   = {Spectral radii of sparse random matrices},
  journal = {Ann. Inst. Henri Poincar{\'e} Probab. Stat.},
  volume  = {56},
  number  = {3},
  pages   = {2141--2161},
  year    = {2020},
  doi     = {10.1214/19-AIHP1033},
  note    = {arXiv:1704.02945}
}

@article{KhorunzhyShcherbinaVengerovsky2004eigenvalue,
  author  = {Khorunzhy, O. and Shcherbina, Mariya and Vengerovsky, Valentin},
  title   = {Eigenvalue distribution of large weighted random graphs},
  journal = {J. Math. Phys.},
  volume  = {45},
  number  = {4},
  pages   = {1648--1672},
  year    = {2004},
  doi     = {10.1063/1.1667610}
}

@article{Afanasiev2016correlation,
  author  = {Afanasiev, Ievgenii},
  title   = {On the correlation functions of the characteristic polynomials of the sparse {H}ermitian random matrices},
  journal = {J. Stat. Phys.},
  volume  = {163},
  number  = {2},
  pages   = {324--356},
  year    = {2016},
  doi     = {10.1007/s10955-016-1486-z},
  note    = {arXiv:1508.06623}
}

@misc{HiesmayrMcKenzie2023spectral,
  author = {Hiesmayr, Ella and McKenzie, Theo},
  title  = {The spectral edge of constant degree {E}rd{\H{o}}s--{R}{\'e}nyi graphs},
  year   = {2023},
  note   = {Preprint, arXiv:2309.11007}
}

@misc{BucdAlcheKnowles2026semilocalization,
  author = {Buc-d'Alch{\'e}, Thomas and Knowles, Antti},
  title  = {Semilocalization for inhomogeneous random graphs},
  year   = {2026},
  note   = {Preprint, arXiv:2604.11682}
}

@article{CugliandoloSchehrTarziaVenturelli2024multifractal,
  author  = {Cugliandolo, Leticia F. and Schehr, Gr{\'e}gory and Tarzia, Marco and Venturelli, Davide},
  title   = {Multifractal phase in the weighted adjacency matrices of random {E}rd{\"o}s--{R}{\'e}nyi graphs},
  journal = {Phys. Rev. B},
  volume  = {110},
  pages   = {174202},
  year    = {2024},
  doi     = {10.1103/PhysRevB.110.174202},
  note    = {arXiv:2404.06931}
}

@article{ErdosRenyi1960evolution,
  author  = {Erd{\H{o}}s, Paul and R{\'e}nyi, Alfr{\'e}d},
  title   = {On the evolution of random graphs},
  journal = {Magyar Tud. Akad. Mat. Kutat{\'o} Int. K{\"o}zl. (Publ. Math. Inst. Hungar. Acad. Sci.)},
  volume  = {5},
  pages   = {17--61},
  year    = {1960}
}

@article{BenjaminiSchramm2001recurrence,
  author  = {Benjamini, Itai and Schramm, Oded},
  title   = {Recurrence of distributional limits of finite planar graphs},
  journal = {Electron. J. Probab.},
  volume  = {6},
  pages   = {Paper No. 23, 13 pp.},
  year    = {2001},
  doi     = {10.1214/EJP.v6-96},
  note    = {arXiv:math/0011019}
}

@incollection{AldousSteele2004objective,
  author    = {Aldous, David and Steele, J. Michael},
  title     = {The objective method: probabilistic combinatorial optimization and local weak convergence},
  booktitle = {Probability on Discrete Structures},
  editor    = {Kesten, Harry},
  series    = {Encyclopaedia Math. Sci.},
  volume    = {110},
  publisher = {Springer, Berlin},
  pages     = {1--72},
  year      = {2004},
  doi       = {10.1007/978-3-662-09444-0_1}
}

@article{AldousLyons2007processes,
  author  = {Aldous, David and Lyons, Russell},
  title   = {Processes on unimodular random networks},
  journal = {Electron. J. Probab.},
  volume  = {12},
  pages   = {Paper No. 54, 1454--1508},
  year    = {2007},
  note    = {arXiv:math/0603062}
}

@article{BordenaveLelarge2010resolvent,
  author  = {Bordenave, Charles and Lelarge, Marc},
  title   = {Resolvent of large random graphs},
  journal = {Random Structures Algorithms},
  volume  = {37},
  pages   = {332--352},
  year    = {2010},
  note    = {arXiv:0801.0155}
}

@incollection{Bordenave2017spectral,
  author    = {Bordenave, Charles},
  title     = {Spectral measures of random graphs},
  booktitle = {Advanced Topics in Random Matrices},
  series    = {Panor. Synth{\`e}ses},
  volume    = {53},
  publisher = {Soc. Math. France, Paris},
  pages     = {91--150},
  year      = {2017}
}

@book{vanderHofstad2017random,
  author    = {van der Hofstad, Remco},
  title     = {Random Graphs and Complex Networks. {V}ol. 1},
  series    = {Cambridge Series in Statistical and Probabilistic Mathematics},
  volume    = {43},
  publisher = {Cambridge University Press, Cambridge},
  year      = {2017}
}

@book{vanderHofstad2024random,
  author    = {van der Hofstad, Remco},
  title     = {Random Graphs and Complex Networks. {V}ol. 2},
  series    = {Cambridge Series in Statistical and Probabilistic Mathematics},
  volume    = {54},
  publisher = {Cambridge University Press, Cambridge},
  year      = {2024}
}

@article{AnantharamanLeMasson2015quantum,
  author  = {Anantharaman, Nalini and Le Masson, Etienne},
  title   = {Quantum ergodicity on large regular graphs},
  journal = {Duke Math. J.},
  volume  = {164},
  number  = {4},
  pages   = {723--765},
  year    = {2015},
  doi     = {10.1215/00127094-2881592},
  note    = {arXiv:1304.4343}
}

@article{AnantharamanSabri2019quantum,
  author  = {Anantharaman, Nalini and Sabri, Mostafa},
  title   = {Quantum ergodicity on graphs: from spectral to spatial delocalization},
  journal = {Ann. of Math. (2)},
  volume  = {189},
  number  = {3},
  pages   = {753--835},
  year    = {2019},
  doi     = {10.4007/annals.2019.189.3.3},
  note    = {arXiv:1704.02766}
}

@article{AnantharamanSabri2017anderson,
  author  = {Anantharaman, Nalini and Sabri, Mostafa},
  title   = {Quantum ergodicity for the {A}nderson model on regular graphs},
  journal = {J. Math. Phys.},
  volume  = {58},
  number  = {9},
  pages   = {091901},
  year    = {2017},
  doi     = {10.1063/1.5000962},
  note    = {arXiv:1704.02765}
}

@article{BrooksLindenstrauss2013nonlocalization,
  author  = {Brooks, Shimon and Lindenstrauss, Elon},
  title   = {Non-localization of eigenfunctions on large regular graphs},
  journal = {Israel J. Math.},
  volume  = {193},
  pages   = {1--14},
  year    = {2013},
  note    = {arXiv:0912.3239}
}

@article{SimonWolff1986singular,
  author  = {Simon, Barry and Wolff, Tom},
  title   = {Singular continuous spectrum under rank one perturbations and localization for random {H}amiltonians},
  journal = {Comm. Pure Appl. Math.},
  volume  = {39},
  number  = {1},
  pages   = {75--90},
  year    = {1986},
  doi     = {10.1002/cpa.3160390105}
}

@incollection{Simon1995spectral,
  author    = {Simon, Barry},
  title     = {Spectral analysis of rank one perturbations and applications},
  booktitle = {Mathematical Quantum Theory. {II}. {S}chr{\"o}dinger Operators ({V}ancouver, {BC}, 1993)},
  editor    = {Feldman, J. and Froese, R. and Rosen, L. M.},
  series    = {CRM Proc. Lecture Notes},
  volume    = {8},
  publisher = {Amer. Math. Soc., Providence, RI},
  pages     = {109--149},
  year      = {1995}
}

@article{Aronszajn1957problem,
  author  = {Aronszajn, Nachman},
  title   = {On a problem of {W}eyl in the theory of singular {S}turm--{L}iouville equations},
  journal = {Amer. J. Math.},
  volume  = {79},
  pages   = {597--610},
  year    = {1957}
}

@article{AldousBandyopadhyay2005survey,
  author  = {Aldous, David J. and Bandyopadhyay, Antar},
  title   = {A survey of max-type recursive distributional equations},
  journal = {Ann. Appl. Probab.},
  volume  = {15},
  number  = {2},
  pages   = {1047--1110},
  year    = {2005},
  doi     = {10.1214/105051605000000142},
  note    = {arXiv:math/0401388}
}

@book{LastPenrose2018lectures,
  author    = {Last, G{\"u}nter and Penrose, Mathew},
  title     = {Lectures on the {P}oisson Process},
  series    = {Institute of Mathematical Statistics Textbooks},
  volume    = {7},
  publisher = {Cambridge University Press, Cambridge},
  year      = {2018}
}

@article{Mecke1967stationare,
  author  = {Mecke, Joseph},
  title   = {Station{\"a}re zuf{\"a}llige {M}a{\ss}e auf lokalkompakten {A}belschen {G}ruppen},
  journal = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
  volume  = {9},
  number  = {1},
  pages   = {36--58},
  year    = {1967},
  doi     = {10.1007/BF00535466}
}

@article{PaleyZygmund1932note,
  author  = {Paley, Raymond E. A. C. and Zygmund, Antoni},
  title   = {A note on analytic functions in the unit circle},
  journal = {Proc. Cambridge Philos. Soc.},
  volume  = {28},
  number  = {3},
  pages   = {266--272},
  year    = {1932}
}

@article{KreinRutman1948linear,
  author  = {Kre{\u\i}n, Mark G. and Rutman, Mark A.},
  title   = {Linear operators leaving invariant a cone in a {B}anach space},
  journal = {Uspekhi Mat. Nauk},
  volume  = {3},
  number  = {1(23)},
  pages   = {3--95},
  year    = {1948},
  note    = {In Russian. English translation: Amer. Math. Soc. Translation 1950, no. 26}
}

@book{Deimling1985nonlinear,
  author    = {Deimling, Klaus},
  title     = {Nonlinear Functional Analysis},
  publisher = {Springer-Verlag, Berlin},
  year      = {1985},
  doi       = {10.1007/978-3-662-00547-7}
}

@book{Kato1995perturbation,
  author    = {Kato, Tosio},
  title     = {Perturbation Theory for Linear Operators},
  series    = {Classics in Mathematics},
  publisher = {Springer-Verlag, Berlin},
  year      = {1995},
  note      = {Reprint of the 1980 edition}
}

@article{Glaeser1963racine,
  author  = {Glaeser, Georges},
  title   = {Racine carr{\'e}e d'une fonction diff{\'e}rentiable},
  journal = {Ann. Inst. Fourier (Grenoble)},
  volume  = {13},
  number  = {2},
  pages   = {203--210},
  year    = {1963},
  doi     = {10.5802/aif.146}
}

@book{ReedSimon1980methods,
  author    = {Reed, Michael and Simon, Barry},
  title     = {Methods of Modern Mathematical Physics. {I}. {F}unctional Analysis},
  edition   = {Second},
  publisher = {Academic Press, New York},
  year      = {1980}
}

@book{DemboZeitouni1998large,
  author    = {Dembo, Amir and Zeitouni, Ofer},
  title     = {Large Deviations Techniques and Applications},
  edition   = {Second},
  series    = {Applications of Mathematics},
  volume    = {38},
  publisher = {Springer-Verlag, New York},
  year      = {1998}
}

@article{Mott1967electrons,
  author  = {Mott, Nevill F.},
  title   = {Electrons in disordered structures},
  journal = {Adv. Phys.},
  volume  = {16},
  number  = {61},
  pages   = {49--144},
  year    = {1967}
}

@article{EconomouCohen1972existence,
  author  = {Economou, Eleftherios N. and Cohen, Morrel H.},
  title   = {Existence of Mobility Edges in {A}nderson's Model for Random Lattices},
  journal = {Phys. Rev. B},
  volume  = {5},
  number  = {8},
  pages   = {2931},
  year    = {1972}
}

@article{Lifshitz1964energy,
  author  = {Lifshitz, Ilya M.},
  title   = {The energy spectrum of disordered systems},
  journal = {Adv. Phys.},
  volume  = {13},
  number  = {52},
  pages   = {483--536},
  year    = {1964}
}

@article{KirkpatrickEggarter1972localized,
  author  = {Kirkpatrick, Scott and Eggarter, Thomas P.},
  title   = {Localized States of a Binary Alloy},
  journal = {Phys. Rev. B},
  volume  = {6},
  pages   = {3598},
  year    = {1972}
}

@article{EversMirlin2008anderson,
  author  = {Evers, Ferdinand and Mirlin, Alexander D.},
  title   = {{A}nderson transitions},
  journal = {Rev. Mod. Phys.},
  volume  = {80},
  pages   = {1355},
  year    = {2008},
  note    = {arXiv:0707.4378}
}

@article{AbouChacraThouless1974,
  author  = {Abou-Chacra, Ragi and Thouless, David J.},
  title   = {Self-consistent theory of localization. {II}. {L}ocalization near the band edges},
  journal = {J. Phys. C},
  volume  = {7},
  number  = {1},
  pages   = {65},
  year    = {1974}
}

@article{Zirnbauer1986localization,
  author  = {Zirnbauer, Martin R.},
  title   = {Localization transition on the {B}ethe lattice},
  journal = {Phys. Rev. B},
  volume  = {34},
  number  = {9},
  pages   = {6394},
  year    = {1986}
}

@article{Efetov1987anderson,
  author  = {Efetov, Konstantin B.},
  title   = {{A}nderson transition on a {B}ethe lattice (the symplectic and orthogonal ensembles)},
  journal = {Sov. Phys. JETP},
  volume  = {66},
  number  = {3},
  pages   = {634},
  year    = {1987},
  note    = {[Zh. Eksp. Teor. Fiz. 93, 1125 (1987)]}
}

@article{MirlinFyodorov1991localization,
  author  = {Mirlin, Alexander D. and Fyodorov, Yan V.},
  title   = {Localization transition in the {A}nderson model on the {B}ethe lattice: spontaneous symmetry breaking and correlation functions},
  journal = {Nucl. Phys. B},
  volume  = {366},
  number  = {3},
  pages   = {507--532},
  year    = {1991}
}

@article{MillerDerrida1994weak,
  author  = {Miller, Jeffrey D. and Derrida, Bernard},
  title   = {Weak-disorder expansion for the {A}nderson model on a tree},
  journal = {J. Stat. Phys.},
  volume  = {75},
  pages   = {357--388},
  year    = {1994},
  note    = {arXiv:cond-mat/9312023}
}

@article{MonthusGarel2009anderson,
  author  = {Monthus, C{\'e}cile and Garel, Thomas},
  title   = {{A}nderson transition on the {C}ayley tree as a traveling wave critical point for various probability distributions},
  journal = {J. Phys. A},
  volume  = {42},
  pages   = {075002},
  year    = {2009},
  note    = {arXiv:0811.1422}
}

@article{BiroliSemerjianTarzia2010anderson,
  author  = {Biroli, Giulio and Semerjian, Guilhem and Tarzia, Marco},
  title   = {{A}nderson model on {B}ethe lattices: density of states, localization properties and isolated eigenvalue},
  journal = {Prog. Theor. Phys. Suppl.},
  volume  = {184},
  pages   = {187--199},
  year    = {2010},
  note    = {arXiv:1005.0342}
}

@article{BapstSemerjian2011lifshitz,
  author  = {Bapst, Victor and Semerjian, Guilhem},
  title   = {{L}ifshitz tails on the {B}ethe lattice: a combinatorial approach},
  journal = {J. Stat. Phys.},
  volume  = {145},
  pages   = {51},
  year    = {2011},
  note    = {arXiv:1104.5637}
}

@misc{BiroliRibeiroTeixeiraTarzia2012difference,
  author  = {Biroli, Giulio and Ribeiro-Teixeira, A. C. and Tarzia, Marco},
  title   = {Difference between level statistics, ergodicity and localization transitions on the {B}ethe lattice},
  year    = {2012},
  note    = {Preprint, arXiv:1211.7334}
}

@article{DeLucaAltshulerKravtsovScardicchio2014anderson,
  author  = {De Luca, Andrea and Altshuler, Boris L. and Kravtsov, Vladimir E. and Scardicchio, Antonello},
  title   = {{A}nderson localization on the {B}ethe lattice: nonergodicity of extended states},
  journal = {Phys. Rev. Lett.},
  volume  = {113},
  pages   = {046806},
  year    = {2014},
  note    = {arXiv:1403.7817}
}

@article{PietracaprinaRosScardicchio2016forward,
  author  = {Pietracaprina, Francesca and Ros, Valentina and Scardicchio, Antonello},
  title   = {Forward approximation as a mean-field approximation for the {A}nderson and many-body localization transitions},
  journal = {Phys. Rev. B},
  volume  = {93},
  pages   = {054201},
  year    = {2016},
  note    = {arXiv:1508.05097}
}

@article{TikhonovMirlinSkvortsov2016anderson,
  author  = {Tikhonov, Konstantin S. and Mirlin, Alexander D. and Skvortsov, Mikhail A.},
  title   = {{A}nderson localization and ergodicity on random regular graphs},
  journal = {Phys. Rev. B},
  volume  = {94},
  pages   = {220203},
  year    = {2016},
  note    = {arXiv:1604.05353}
}

@article{TarquiniBiroliTarzia2017critical,
  author  = {Tarquini, Elena and Biroli, Giulio and Tarzia, Marco},
  title   = {Critical properties of the {A}nderson localization transition and the high-dimensional limit},
  journal = {Phys. Rev. B},
  volume  = {95},
  pages   = {094204},
  year    = {2017},
  note    = {arXiv:1612.04753}
}

@article{KravtsovAltshulerIoffe2018nonergodic,
  author  = {Kravtsov, Vladimir E. and Altshuler, Boris L. and Ioffe, Lev B.},
  title   = {Non-ergodic delocalized phase in {A}nderson model on {B}ethe lattice and regular graph},
  journal = {Ann. Phys.},
  volume  = {389},
  pages   = {148--191},
  year    = {2018},
  note    = {arXiv:1712.00614}
}

@misc{BiroliTarzia2018delocalization,
  author  = {Biroli, Giulio and Tarzia, Marco},
  title   = {Delocalization and ergodicity of the {A}nderson model on {B}ethe lattices},
  year    = {2018},
  note    = {Preprint, arXiv:1810.07545}
}

@article{BiroliTarzia2020anomalous,
  author  = {Biroli, Giulio and Tarzia, Marco},
  title   = {Anomalous dynamics on the ergodic side of the many-body localization transition and the glassy phase of directed polymers in random media},
  journal = {Phys. Rev. B},
  volume  = {102},
  pages   = {064211},
  year    = {2020},
  note    = {arXiv:2003.09629}
}

@article{TikhonovMirlin2021from,
  author  = {Tikhonov, Konstantin S. and Mirlin, Alexander D.},
  title   = {From {A}nderson localization on random regular graphs to many-body localization},
  journal = {Ann. Phys.},
  volume  = {435},
  pages   = {168525},
  year    = {2021},
  note    = {arXiv:2102.05930}
}

@article{BiroliHartmannTarzia2022critical,
  author  = {Biroli, Giulio and Hartmann, Alexander K. and Tarzia, Marco},
  title   = {Critical behavior of the {A}nderson model on the {B}ethe lattice via a large-deviation approach},
  journal = {Phys. Rev. B},
  volume  = {105},
  pages   = {094202},
  year    = {2022},
  note    = {arXiv:2110.01524}
}

@misc{RizzoTarzia2024localized,
  author  = {Rizzo, Tommaso and Tarzia, Marco},
  title   = {The localized phase of the {A}nderson model on the {B}ethe lattice},
  year    = {2024},
  note    = {Preprint, arXiv:2406.18748}
}

@misc{PradoBandeiraVecchiarelliTarzia2026anderson,
  author  = {Prado Bandeira, Dafne and Vecchiarelli, Angelica and Tarzia, Marco},
  title   = {{A}nderson localization on the {B}ethe lattice},
  year    = {2026},
  note    = {Lecture notes, arXiv:2606.24671}
}

@article{DerridaSpohn1988polymers,
  author  = {Derrida, Bernard and Spohn, Herbert},
  title   = {Polymers on disordered trees, spin glasses, and traveling waves},
  journal = {J. Stat. Phys.},
  volume  = {51},
  pages   = {817--840},
  year    = {1988}
}

@article{RodgersBray1988density,
  author  = {Rodgers, Geoff J. and Bray, Alan J.},
  title   = {Density of states of a sparse random matrix},
  journal = {Phys. Rev. B},
  volume  = {37},
  number  = {7},
  pages   = {3557},
  year    = {1988}
}

@article{RodgersDeDominicis1990density,
  author  = {Rodgers, Geoff J. and De Dominicis, C.},
  title   = {Density of states of sparse random matrices},
  journal = {J. Phys. A},
  volume  = {23},
  number  = {9},
  pages   = {1567},
  year    = {1990}
}

@article{FyodorovMirlin1991localization,
  author  = {Fyodorov, Yan V. and Mirlin, Alexander D.},
  title   = {Localization in ensemble of sparse random matrices},
  journal = {Phys. Rev. Lett.},
  volume  = {67},
  number  = {15},
  pages   = {2049},
  year    = {1991}
}

@article{MirlinFyodorov1991universality,
  author  = {Mirlin, Alexander D. and Fyodorov, Yan V.},
  title   = {Universality of level correlation function of sparse random matrices},
  journal = {J. Phys. A},
  volume  = {24},
  number  = {10},
  pages   = {2273},
  year    = {1991}
}

@article{FyodorovMirlinSommers1992novel,
  author  = {Fyodorov, Yan V. and Mirlin, Alexander D. and Sommers, Hans-J{\"u}rgen},
  title   = {A novel field theoretical approach to the {A}nderson localization: sparse random hopping model},
  journal = {J. Phys. I France},
  volume  = {2},
  number  = {8},
  pages   = {1571--1605},
  year    = {1992}
}

@article{Evangelou1992numerical,
  author  = {Evangelou, S. N.},
  title   = {A numerical study of sparse random matrices},
  journal = {J. Stat. Phys.},
  volume  = {69},
  pages   = {361--383},
  year    = {1992}
}

@article{EvangelouEconomou1992spectral,
  author  = {Evangelou, S. N. and Economou, Eleftherios N.},
  title   = {Spectral density singularities, level statistics, and localization in a sparse random matrix ensemble},
  journal = {Phys. Rev. Lett.},
  volume  = {68},
  number  = {3},
  pages   = {361},
  year    = {1992}
}

@article{BiroliMonasson1999single,
  author  = {Biroli, Giulio and Monasson, R{\'e}mi},
  title   = {A single defect approximation for localized states on random lattices},
  journal = {J. Phys. A},
  volume  = {32},
  number  = {24},
  pages   = {L255},
  year    = {1999},
  note    = {arXiv:cond-mat/9902032}
}

@article{SemerjianCugliandolo2002sparse,
  author  = {Semerjian, Guilhem and Cugliandolo, Leticia F.},
  title   = {Sparse random matrices: the eigenvalue spectrum revisited},
  journal = {J. Phys. A},
  volume  = {35},
  number  = {23},
  pages   = {4837},
  year    = {2002},
  note    = {arXiv:cond-mat/0202406}
}

@article{Kuhn2008spectra,
  author  = {K{\"u}hn, Reimer},
  title   = {Spectra of sparse random matrices},
  journal = {J. Phys. A},
  volume  = {41},
  number  = {29},
  pages   = {295002},
  year    = {2008},
  note    = {arXiv:0803.2886}
}

@article{RogersPerezCastilloKuhnTakeda2008cavity,
  author  = {Rogers, Tim and P{\'e}rez Castillo, Isaac and K{\"u}hn, Reimer and Takeda, Koujin},
  title   = {Cavity approach to the spectral density of sparse symmetric random matrices},
  journal = {Phys. Rev. E},
  volume  = {78},
  number  = {3},
  pages   = {031116},
  year    = {2008},
  note    = {arXiv:0803.1553}
}

@article{MetzNeriBolle2010localization,
  author  = {Metz, Fernando L. and Neri, Izaak and Boll{\'e}, D{\'e}sir{\'e}},
  title   = {Localization transition in symmetric random matrices},
  journal = {Phys. Rev. E},
  volume  = {82},
  pages   = {031135},
  year    = {2010},
  note    = {arXiv:1005.3712}
}

@article{Slanina2012localization,
  author  = {Slanina, Franti{\v{s}}ek},
  title   = {Localization of eigenvectors in random graphs},
  journal = {Eur. Phys. J. B},
  volume  = {85},
  pages   = {361},
  year    = {2012},
  note    = {arXiv:1401.1681}
}

@article{Kuhn2016disentangling,
  author  = {K{\"u}hn, Reimer},
  title   = {Disentangling giant component and finite cluster contributions in sparse random matrix spectra},
  journal = {Phys. Rev. E},
  volume  = {93},
  pages   = {042110},
  year    = {2016},
  note    = {arXiv:1601.04690}
}

@article{SuscaVivoKuhn2021cavity,
  author  = {Susca, Vito A. R. and Vivo, Pierpaolo and K{\"u}hn, Reimer},
  title   = {Cavity and replica methods for the spectral density of sparse symmetric random matrices},
  journal = {SciPost Phys. Lect. Notes},
  volume  = {33},
  year    = {2021},
  note    = {arXiv:2101.08029}
}

@article{SilvaMetz2022analytic,
  author  = {Silva, Jeferson D. and Metz, Fernando L.},
  title   = {Analytic solution of the resolvent equations for heterogeneous random graphs: spectral and localization properties},
  journal = {J. Phys. Complex.},
  volume  = {3},
  pages   = {045012},
  year    = {2022},
  note    = {arXiv:2209.06805}
}

@article{Tarzia2022fully,
  author  = {Tarzia, Marco},
  title   = {Fully localized and partially delocalized states in the tails of {E}rd{\H{o}}s--{R}{\'e}nyi graphs in the critical regime},
  journal = {Phys. Rev. B},
  volume  = {105},
  pages   = {174201},
  year    = {2022},
  note    = {arXiv:2112.11560}
}

@article{ValigiBaronNeriBiroliCammarota2025eigenvalue,
  author  = {Valigi, Pietro and Baron, Joseph W. and Neri, Izaak and Biroli, Giulio and Cammarota, Chiara},
  title   = {Eigenvalue spectral tails and localization properties of asymmetric networks},
  journal = {J. Phys. A},
  volume  = {58},
  number  = {45},
  pages   = {455002},
  year    = {2025},
  note    = {arXiv:2507.20225}
}

@article{BaronRogers2026local,
  author  = {Baron, Joseph W. and Rogers, Tim},
  title   = {Local density of states distribution and multifractal eigenvectors of weighted random networks via the cavity approach},
  journal = {Phys. Rev. B},
  volume  = {114},
  pages   = {074204},
  year    = {2026},
  note    = {arXiv:2606.10915}
}

@article{CizeauBouchaud1994theory,
  author  = {Cizeau, Pierre and Bouchaud, Jean-Philippe},
  title   = {Theory of {L}{\'e}vy matrices},
  journal = {Phys. Rev. E},
  volume  = {50},
  pages   = {1810},
  year    = {1994}
}

@article{BiroliBouchaudPotters2007top,
  author  = {Biroli, Giulio and Bouchaud, Jean-Philippe and Potters, Marc},
  title   = {On the top eigenvalue of heavy-tailed random matrices},
  journal = {EPL},
  volume  = {78},
  number  = {1},
  pages   = {10001},
  year    = {2007},
  note    = {arXiv:cond-mat/0609070}
}

@article{TarquiniBiroliTarzia2016level,
  author  = {Tarquini, Elena and Biroli, Giulio and Tarzia, Marco},
  title   = {Level statistics and localization transitions of {L}{\'e}vy matrices},
  journal = {Phys. Rev. Lett.},
  volume  = {116},
  pages   = {010601},
  year    = {2016},
  note    = {arXiv:1507.00296}
}

@article{BiroliTarzia2021levy,
  author  = {Biroli, Giulio and Tarzia, Marco},
  title   = {{L}{\'e}vy--{R}osenzweig--{P}orter random matrix ensemble},
  journal = {Phys. Rev. B},
  volume  = {103},
  pages   = {104205},
  year    = {2021},
  note    = {arXiv:2012.12841}
}

@book{Kallenberg2002foundations,
  author    = {Kallenberg, Olav},
  title     = {Foundations of Modern Probability},
  edition   = {Second},
  series    = {Probability and its Applications},
  publisher = {Springer-Verlag, New York},
  year      = {2002}
}

@book{Billingsley1999convergence,
  author    = {Billingsley, Patrick},
  title     = {Convergence of Probability Measures},
  edition   = {Second},
  series    = {Wiley Series in Probability and Statistics},
  publisher = {John Wiley \& Sons, New York},
  year      = {1999}
}

@book{Durrett2019probability,
  author    = {Durrett, Rick},
  title     = {Probability: Theory and Examples},
  edition   = {Fifth},
  series    = {Cambridge Series in Statistical and Probabilistic Mathematics},
  volume    = {49},
  publisher = {Cambridge University Press, Cambridge},
  year      = {2019}
}

@book{Rudin1987real,
  author    = {Rudin, Walter},
  title     = {Real and Complex Analysis},
  edition   = {Third},
  publisher = {McGraw-Hill, New York},
  year      = {1987}
}

@book{ReedSimon1975methods,
  author    = {Reed, Michael and Simon, Barry},
  title     = {Methods of Modern Mathematical Physics. {II}. {F}ourier Analysis, Self-Adjointness},
  publisher = {Academic Press, New York},
  year      = {1975}
}

@misc{HenheikKnowles2026Bernoulli,
  author        = {Henheik, Joscha and Knowles, Antti},
  title         = {{Bernoulli} flow for {Erd{\H{o}}s--R{\'e}nyi} graphs},
  year          = {2026},
  eprint        = {2609.15566},
  archivePrefix = {arXiv},
  primaryClass  = {math.PR},
  url           = {https://arxiv.org/abs/2609.15566}
}

@misc{OpenAI2026AbsolutelyContinuousSpectrum,
  author       = {{OpenAI}},
  title        = {{Absolutely Continuous Spectrum for Weak-Disorder Anderson Models in Dimensions at Least Three}},
  year         = {2026},
  month        = sep,
  howpublished = {OpenAI Math Release preprint},
  url          = {https://github.com/openai/math/blob/main/preprints/Absolutely-Continuous-Spectrum-for-Weak-Disorder-Anderson-Models-in-Dimensions-at-Least-Three-September-23-2026/paper.pdf}
}

@misc{OpenAI2026PurePointSpectrum,
  author       = {{OpenAI}},
  title        = {{Pure-Point Spectrum for the Two-Dimensional Anderson Model at Every Positive Disorder}},
  year         = {2026},
  month        = sep,
  howpublished = {OpenAI Math Release preprint},
  url          = {https://github.com/openai/math/blob/main/preprints/Pure-Point-Spectrum-for-the-Two-Dimensional-Anderson-Model-at-Every-Positive-Disorder-September-23-2026/paper.pdf}
}

@misc{OpenAI2026AndersonUniversalityRRG,
  author       = {{OpenAI}},
  title        = {{Fixed-energy universality for weak Anderson disorder on random regular graphs}},
  year         = {2026},
  month        = oct,
  howpublished = {OpenAI Math Release preprint},
  url          = {https://github.com/openai/math/blob/main/preprints/Fixed-energy-universality-for-weak-Anderson-disorder-on-random-regular-graphs-October-5-2026/fixed-energy-universality-weak-anderson-disorder-random-regular-graphs.pdf}
}

@misc{OpenAI2026GOEUniversalityRRG,
  author       = {{OpenAI}},
  title        = {{GOE bulk universality for fixed-degree random regular graphs}},
  year         = {2026},
  month        = sep,
  howpublished = {OpenAI Math Release preprint},
  url          = {https://github.com/openai/math/blob/main/preprints/GOE-bulk-universality-for-fixed-degree-random-regular-graphs-September-23-2026/paper.pdf}
}

@misc{HeHuangWang2026Bulk,
  author        = {He, Yukun and Huang, Jiaoyang and Wang, Xiaoyu},
  title         = {Bulk universality of random regular graphs},
  year          = {2026},
  eprint        = {2610.08127},
  archivePrefix = {arXiv},
  primaryClass  = {math.PR},
  url           = {https://arxiv.org/abs/2610.08127}
}