渗流中的顺从性判据与临界概率
群论
2018-12-31 v2 概率论
摘要
给出了 Nagnibeda 和 Pak 关于临界概率定理的一个新证明。其显著特征是使用了一个在很大程度上（且令人费解地）被遗忘的 Folner 判据。
引用
@article{arxiv.1403.0909,
title = {Amenability criterions and critical probabilities in percolation},
author = {Antoine Gournay},
journal= {arXiv preprint arXiv:1403.0909},
year = {2018}
}
备注
10 pages. The proof of Theorem 4.1 in the previous version contains a mistake; the validity of the corresponding statement is open (see question 5.5 of the current version). The current Theorem 4.1 gives Folner's original criterion, while Theorem 5.4 shows it can in a weaker guise be applied to actions