Аннотация:
Построено эргодическое симметрично-распределенное случайное поле на плоскости с бесконечно-гладкими реализациями и конечными моментами до любого порядка включительно, которое не просачивается на любом уровне −∞<h<+∞.
Образец цитирования:
С. А. Молчанов, А. К. Степанов, “Просачивание случайных полей. III”, ТМФ, 67:2 (1986), 177–185; Theoret. and Math. Phys., 67:2 (1986), 434–439
Stephen Muirhead, Igor Wigman, “The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration”, Probab. Theory Relat. Fields, 2025
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, “A sprinkled decoupling inequality for Gaussian processes and applications”, Electron. J. Probab., 28:none (2023)
Franco Severo, “Sharp phase transition for Gaussian percolation in all dimensions”, Annales Henri Lebesgue, 5 (2022), 987
Marcia A. Cooper, William W. Erikson, Michael S. Oliver, “Electrical conductivity of porous binary powder mixtures”, Mechanics of Materials, 162 (2021), 104026
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
Alejandro Rivera, Hugo Vanneuville, “Quasi-independence for nodal lines”, Ann. Inst. H. Poincaré Probab. Statist., 55:3 (2019)