Transient weighted graphs: 0-1 laws and FKG inequality for random interlacements
概率论
2026-03-12 v1
摘要
我们研究了随机 interlacement 模型在传递加权图上的某些性质，这一模型由 A. Teixeira 在 ["Interlacement percolation on transient weighted graphs", Augusto Teixeira, Electronic Journal of Probability (2009)] 中引入。我们给出 FKG 性质的一个简洁证明，并讨论了非局部事件的多个 0-1 定律。我们特别证明了某些增强非局部事件的 0-1 定律，不需要任何假设。
引用
@article{arxiv.2603.10896,
title = {Random interlacements on transient weighted graphs: 0-1 laws and FKG inequality},
author = {Orphée Collin},
journal= {arXiv preprint arXiv:2603.10896},
year = {2026}
}
备注
Version 1 : 33 pages, no figure. Further version(s) will include illustrations, examples of applications and miscellaneous