Образец цитирования:
С. А. Молчанов, А. К. Степанов, “Просачивание случайных полей. I”, ТМФ, 55:2 (1983), 246–256; Theoret. and Math. Phys., 55:2 (1983), 478–484
Jiří Černý, Ramon Locher, “Critical and near-critical level-set percolation of the Gaussian free field on regular trees”, Ann. Inst. H. Poincaré Probab. Statist., 61:1 (2025)
Stephen Muirhead, Igor Wigman, “The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration”, Probab. Theory Relat. Fields, 2025
Ю. П. Вирченко, Д. А. Черкашин, “Иерархические модели дискретной теории перколяции и марковские ветвящиеся процессы”, Материалы Воронежской международной весенней математической школы «Современные методы краевых задач. Понтрягинские чтения—XXXV», Воронеж, 26-30 апреля 2024 г. Часть 1, Итоги науки и техн. Соврем. мат. и ее прил. Темат. обз., 235, ВИНИТИ РАН, M., 2024, 15–33
Reimer Kühn, “Level-set percolation of Gaussian random fields on complex networks”, Phys. Rev. E, 110:3 (2024)
Reimer Kühn, “Gaussian level-set percolation on complex networks”, Phys. Rev. E, 110:5 (2024)
Stephen Muirhead, Alejandro Rivera, Hugo Vanneuville, Laurin Köhler-Schindler, “The phase transition for planar Gaussian percolation models without FKG”, Ann. Probab., 51:5 (2023)
Guillaume Conchon-Kerjan, “Anatomy of a Gaussian giant: supercritical level-sets of the free field on regular graphs”, Electron. J. Probab., 28:none (2023)
Vivek Dewan, Stephen Muirhead, “Upper bounds on the one-arm exponent for dependent percolation models”, Probab. Theory Relat. Fields, 185:1-2 (2023), 41
Stephen Muirhead, “A sprinkled decoupling inequality for Gaussian processes and applications”, Electron. J. Probab., 28:none (2023)
Xiangyu Cao, Raoul Santachiara, “Level Set Percolation in the Two-Dimensional Gaussian Free Field”, Phys. Rev. Lett., 126:12 (2021)
Alberto Chiarini, Maximilian Nitzschner, “Disconnection and Entropic Repulsion for the Harmonic Crystal with Random Conductances”, Commun. Math. Phys., 386:3 (2021), 1685
Dmitry Beliaev, Stephen Muirhead, Igor Wigman, “Mean conservation of nodal volume and connectivity measures for Gaussian ensembles”, Advances in Mathematics, 378 (2021), 107521
Nina Javerzat, Sebastian Grijalva, Alberto Rosso, Raoul Santachiara, “Topological effects and conformal invariance in long-range correlated random surfaces”, SciPost Phys., 9:4 (2020)
Stephen Muirhead, Hugo Vanneuville, “The sharp phase transition for level set percolation of smooth planar Gaussian fields”, Ann. Inst. H. Poincaré Probab. Statist., 56:2 (2020)
Jian Ding, Mateo Wirth, “Percolation for level-sets of Gaussian free fields on metric graphs”, Ann. Probab., 48:3 (2020)
Alberto Chiarini, Maximilian Nitzschner, “Entropic repulsion for the Gaussian free field conditioned on disconnection by level-sets”, Probab. Theory Relat. Fields, 177:1-2 (2020), 525
Alejandro Rivera, Hugo Vanneuville, “The critical threshold for Bargmann–Fock percolation”, Annales Henri Lebesgue, 3 (2020), 169
Alain-Sol Sznitman, “On macroscopic holes in some supercritical strongly dependent percolation models”, Ann. Probab., 47:4 (2019)
Alejandro Rivera, Hugo Vanneuville, “Quasi-independence for nodal lines”, Ann. Inst. H. Poincaré Probab. Statist., 55:3 (2019)