期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2021
卷号：18
期号：1
页码：377
DOI：10.30757/ALEA.v18-17
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：This work aims to study the dislocation or nodal lines of 3D Berry’s random waves model. Their expected length is computed both in the isotropic and anisotropic cases, being them compared. Afterwards, in the isotropic case the asymptotic variance and distribution of the length are studied as the domain grows to the whole space. We find different orders of magnitude for the variance and different limit distributions for different submodels. The study includes the Berry’s monochromatic random waves, the Bargmann-Fock model and the BlackBody radiation.
其他关键词：Random waves, nodal statistics, central limit theorem, non-central limit theorem.
