正则树上入侵逾渗团簇的标度极限
概率论
2013-02-05 v2
摘要
我们证明了正则树上入侵逾渗团簇（IPC）标度极限的存在性。该极限是一个具有单端的随机实树。极限的轮廓函数和高度函数被描述为某些扩散随机过程。这一收敛使我们能够恢复并精确化IPC的某些渐近结果。特别地，我们将IPC重标度水平集的极限与标度高度函数的局部时联系起来。
引用
@article{arxiv.0910.4205,
title = {Scaling limit of the invasion percolation cluster on a regular tree},
author = {Omer Angel and Jesse Goodman and Mathieu Merle},
journal= {arXiv preprint arXiv:0910.4205},
year = {2013}
}
备注
Published in at http://dx.doi.org/10.1214/11-AOP731 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)