Mathematics > Probability
arXiv:2508.09291 (math)
[Submitted on 12 Aug 2025 (v1), last revised 29 Jul 2026 (this version, v2)]
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).
Submission history
From: Quirin Vogel [view email]
[v1]
Tue, 12 Aug 2025 19:04:54 UTC (104 KB)
[v2]
Wed, 29 Jul 2026 09:40:08 UTC (155 KB)
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