1+O(1) Asymptotics for Loop Percolation in Five and Higher Dimensions

Abstract We calculate the one-arm probability and the two-point function for loop percolation in dimensions five and higher on the lattice to first order. This answers a question posed by Y. Chang and A. Sapozhnikov in Probability Theory and Related Fields (2016), 164:979–1025.

Authors

Quirin Vogel (ORCID: https://orcid.org/0000-0002-9478-8622)

Institutions

University of Klagenfurt (AT)

Publication Details

Journal: International Mathematics Research Notices
Published: 2026-04-10
DOI: https://doi.org/10.1093/imrn/rnag084
Primary Topic: Stochastic processes and statistical mechanics
Type: article
Field-Weighted Citation Impact: 0.00

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article

1+O(1) Asymptotics for Loop Percolation in Five and Higher Dimensions

Quirin Vogel

Apr 10, 2026

International Mathematics Research Notices

Stochastic processes and statistical mechanics

article

1+O(1) Asymptotics for Loop Percolation in Five and Higher Dimensions

Quirin Vogel

April 10, 2026article en

Abstract

International Mathematics Research NoticesVol. 2026(9)

University of Klagenfurt (AT)

Openalex Percentile: Top 4%

Stochastic processes and statistical mechanics

DOI Source OpenAlex

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1+O(1) Asymptotics for Loop Percolation in Five and Higher Dimensions — Quirin Vogel · International Mathematics Research Notices (2026) | TGRS Research Map | TGRS