平面高斯随机场临界点间无排斥
概率论
2020-11-30 v3 数学物理
math.MP
摘要
我们研究各向同性平稳高斯场的临界点点过程的行为。我们计算了两点相关函数在对角线附近渐近展开的主项。我们的主要结果表明，对于“一般”场，临界点之间既不排斥也不吸引。我们的分析还允许研究临界点的短程行为如何依赖于其指标。
引用
@article{arxiv.1911.03455,
title = {No repulsion between critical points for planar Gaussian random fields},
author = {Dmitry Beliaev and Valentina Cammarota and Igor Wigman},
journal= {arXiv preprint arXiv:1911.03455},
year = {2020}
}
备注
This version of the paper contains the text of the paper accepted for publication in 'Electronic Communications in Probability' and three appendices which show some technical computations. arXiv admin note: text overlap with arXiv:1704.04943