首达渗流中非随机涨落的发散性
概率论
2021-03-26 v3 数学物理
math.MP
摘要
我们研究上首达渗流的非随机涨落，并证明其在任意维度下均发散。我们还证明了非随机形状涨落的发散性，该猜想见于[Yu Zhang. The divergence of fluctuations for shape in first passage percolation. {\em Probab. Theory. Related. Fields.} 136(2) 298--320, 2006]。
引用
@article{arxiv.1804.09533,
title = {Divergence of non-random fluctuation in First Passage Percolation},
author = {Shuta Nakajima},
journal= {arXiv preprint arXiv:1804.09533},
year = {2021}
}
备注
13 page, 4 figures, an early version of these results appeared in Sections 1.2 and 7 of arXiv:1706.03493. The proof becomes simpler than the first draft