高维 IIC 的骨架标度极限：扩展版
概率论
2017-06-12 v1 数学物理
math.MP
摘要
我们在有限范围和长范围设定下，分别识别了高维初始无限簇（IIC）骨架的标度极限。在有限范围设定下，该标度极限为 Brownian 运动；在长范围设定下，该标度极限为稳定运动。证明依赖于一种新颖的蕾丝展开，该展开记录了关键键的数量。
关键词
引用
@article{arxiv.1706.02941,
title = {Backbone scaling limit of the high-dimensional IIC: extended version},
author = {Markus Heydenreich and Remco van der Hofstad and Tim Hulshof and Grégory Miermont},
journal= {arXiv preprint arXiv:1706.02941},
year = {2017}
}
备注
This is a thorough revision of a previous submission, arXiv:1301.3486v2, which was retracted because of an error in the proof. The results presented here are the same as those claimed in arXiv:1301.3486v2 (modulo a few details), but large parts of the proof are different. 86 pages, 46 figures