由不公平硬币抛掷生成的随机波的小尺度等分布
偏微分方程分析
2021-09-09 v2 概率论
谱理论
摘要
在本文中，我们研究系数由不公平硬币决定的随机波的小尺度等分布性质。即系数以概率 取 、以概率 取 。已知系数由公平硬币关联的随机波可等分布至波长尺度。我们得到了偏离公平（）硬币以保持等分布的明确要求。
引用
@article{arxiv.2103.08089,
title = {Small scale equidistribution of random waves generated by an unfair coin flip},
author = {Miriam Leonhardt and Melissa Tacy},
journal= {arXiv preprint arXiv:2103.08089},
year = {2021}
}
备注
The previous version of the paper was missing some terms in the calculation of the variance. This version includes these terms, and is the final version. The method of the proof stays the same and the main results of the paper are unchanged