1+O(1) asymptotics for loop percolation in five and higher dimensions
Probability
2025-08-14 v1
Abstract
We calculate the one-arm probability and the two-point function for loop percolation in dimensions five and higher on the lattice up to first order. This answers a question posed by Y. Chang and A. Sapozhnikov in Probability Theory and Related Fields (2016).
Keywords
Cite
@article{arxiv.2508.09291,
title = {1+O(1) asymptotics for loop percolation in five and higher dimensions},
author = {Quirin Vogel},
journal= {arXiv preprint arXiv:2508.09291},
year = {2025}
}
Comments
14 pages, 1 figure