English

On phase transition in the hard-core model on ${\bf Z}^d$

Combinatorics 2012-06-15 v1 Mathematical Physics math.MP

Abstract

It is shown that the hard-core model on Zd{\bf Z}^d exhibits a phase transition at activities above some function λ(d)\lambda(d) which tends to zero as dd\rightarrow \infty

Cite

@article{arxiv.1206.3144,
  title  = {On phase transition in the hard-core model on ${\bf Z}^d$},
  author = {David Galvin and Jeff Kahn},
  journal= {arXiv preprint arXiv:1206.3144},
  year   = {2012}
}

Comments

39 pages; appeared in Combinatorics, Probability & Computing in 2004

R2 v1 2026-06-21T21:19:20.380Z