The Lace Expansion and its Applications

  title={The Lace Expansion and its Applications},
  author={Gordon Slade},
ii The Lace Expansion and its Applications The Lace Expansion and its Applications iii Preface Several superficially simple mathematical models, such as the self-avoiding walk and percolation, are paradigms for the study of critical phenomena in statistical mechanics. Although these models have been studied by mathematicians for about half a century, exciting new developments continue to occur and the subject is flourishing. Much progress has been made, but it remains a major challenge for… CONTINUE READING
39 Citations
193 References
Similar Papers


Publications referenced by this paper.
Showing 1-10 of 193 references

Mean-field critical behavior for the contact process

  • A. Sakai
  • J. Stat. Phys.,
  • 2001
Highly Influential
11 Excerpts

Self-avoiding walk in 5 or more dimensions

  • D. C. Brydges, T. Spencer
  • Commun. Math. Phys.,
  • 1985
Highly Influential
5 Excerpts

Járai. The incipient infinite cluster for highdimensional unoriented percolation

  • A.A.R. van der Hofstad
  • J. Stat. Phys,
  • 2004
Highly Influential
8 Excerpts

Similar Papers

Loading similar papers…