临界大象随机游走返回原点的频率
概率论
2024-10-10 v2
摘要
我们研究了临界状态下大象随机游走访问原点次数的渐近行为。我们的结果意味着临界大象随机游走的大多数零点发生在它最后一次通过零点之前不久。此外，我们推导了随机游走首次返回时间的尾部估计。
引用
@article{arxiv.2406.02399,
title = {How often does a critical elephant random walk return to origin},
author = {Zheng Fang},
journal= {arXiv preprint arXiv:2406.02399},
year = {2024}
}
备注
13 pages, 1 figure; this version contains a few minor modifications to improve the readability. Comments are welcome!