Work

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

Year: 2026

Type: article

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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnag084

Author: Quirin Vogel

Institution: University of Klagenfurt

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,534

OpenAlex ID: W7160280516

FWCI:

Cites: 21

Cited by:

Related to: