English

Trees, forests and jungles: a botanical garden for cluster expansions

High Energy Physics - Theory 2009-10-28 v1

Abstract

Combinatoric formulas for cluster expansions have been improved many times over the years. Here we develop some new combinatoric proofs and extensions of the tree formulas of Brydges and Kennedy, and test them on a series of pedagogical examples.

Keywords

Cite

@article{arxiv.hep-th/9409094,
  title  = {Trees, forests and jungles: a botanical garden for cluster expansions},
  author = {A. Abdesselam and V. Rivasseau},
  journal= {arXiv preprint arXiv:hep-th/9409094},
  year   = {2009}
}

Comments

37 pages, Ecole Polytechnique A-325.0994