树上次扩散偏置游走的局部时
概率论
2019-01-03 v2
摘要
考虑超临界 Galton-Watson 树上的一类零常返随机偏置游走。我们获得了次扩散情形下该偏置游走的局部时收敛速率及淬灭局部概率。这些结果源于对返回时间的尖锐估计，其分析由树上的一族凹递归方程所驱动。
引用
@article{arxiv.1412.4507,
title = {Local times of subdiffusive biased walks on trees},
author = {Yueyun Hu},
journal= {arXiv preprint arXiv:1412.4507},
year = {2019}
}
备注
I am grateful to Pierre Rousselin who has kindly pointed out a mistake in the original version. In this corrected version, the case kappa>2 remains unchanged, but the results in the cases (1 < kappa <= 2) are weaker than that stated in the original version: we only obtain the rates of convergence instead of the exact equivalence with an explicit constant