1+O(1) asymptotics for loop percolation in five and higher dimensions
arXiv:2508.09291 · doi:10.1093/imrn/rnag084
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).
16 pages, 2 figures, fixed typos of v1