English

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

Probability 2021-01-18 v2

Abstract

We expand the critical point for site percolation on the dd-dimensional hypercubic lattice in terms of inverse powers of 2d2d, and we obtain the first three terms rigorously. This is achieved using the lace expansion.

Keywords

Cite

@article{arxiv.1912.04584,
  title  = {Expansion for the critical point of site percolation: the first three terms},
  author = {Markus Heydenreich and Kilian Matzke},
  journal= {arXiv preprint arXiv:1912.04584},
  year   = {2021}
}

Comments

22 pages