Аннотация:
Доказан критерий просачивания для непрерывных полей в RνRν.
Сформулированы достаточные условия просачивания для гауссовских и пуассоновских полей, которые особенно часто встречаются в физических
приложениях.
Образец цитирования:
С. А. Молчанов, А. К. Степанов, “Просачивание случайных полей. II”, ТМФ, 55:3 (1983), 419–430; Theoret. and Math. Phys., 55:3 (1983), 592–599
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)
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)
Raphaël Lachièze-Rey, Stephen Muirhead, “Asymptotics for the critical level and a strong invariance principle for high intensity shot noise fields”, Ann. Inst. H. Poincaré Probab. Statist., 59:3 (2023)
Günter Last, Giovanni Peccati, D. Yogeshwaran, “Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees”, Random Struct Algorithms, 63:2 (2023), 457
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez, Franco Severo, “Equality of critical parameters for percolation of Gaussian free field level sets”, Duke Math. J., 172:5 (2023)
Stephen Muirhead, Alejandro Rivera, Hugo Vanneuville, Laurin Köhler-Schindler, “The phase transition for planar Gaussian percolation models without FKG”, Ann. Probab., 51:5 (2023)
Franco Severo, “Sharp phase transition for Gaussian percolation in all dimensions”, Annales Henri Lebesgue, 5 (2022), 987
Raphael Lachieze-Rey, Stephen Muirhead, “Percolation of the excursion sets of planar symmetric shot noise fields”, Stochastic Processes and their Applications, 147 (2022), 175
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)
Alejandro Rivera, Hugo Vanneuville, “The critical threshold for Bargmann–Fock percolation”, Annales Henri Lebesgue, 3 (2020), 169
Dmitry Beliaev, Stephen Muirhead, Alejandro Rivera, “A covariance formula for topological events of smooth Gaussian fields”, Ann. Probab., 48:6 (2020)
Alejandro Rivera, Hugo Vanneuville, “Quasi-independence for nodal lines”, Ann. Inst. H. Poincaré Probab. Statist., 55:3 (2019)
Vincent Beffara, Damien Gayet, “Percolation of random nodal lines”, Publ.math.IHES, 126:1 (2017), 131
Цитирование в формате AMSBIB
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