Expansion for the critical point of site percolation: the first three terms

Heydenreich, Markus and Matzke, Kilian (2022): Expansion for the critical point of site percolation: the first three terms. In: Combinatorics Probability & Computing, Vol. 31, No. 3: pp. 430-454

Abstract

We expand the critical point for site percolation on the d-dimensional hypercubic lattice in terms of inverse powers of 2d, and we obtain the first three terms rigorously. This is achieved using the lace expansion.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0963-5483
• Language: English
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 491502892