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arXiv · 2508.09291

1+O(1) asymptotics for loop percolation in five and higher dimensions

Quirin Vogel
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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).

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Quirin Vogel. 2025-08-12. 1+O(1) asymptotics for loop percolation in five and higher dimensions. https://doi.org/10.1093/imrn%2Frnag084

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