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

Abdelmalek Abdesselam (1) , V. Rivasseau (1)

1 CPHT - Centre de Physique Théorique [Palaiseau]

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.

Mots clés: tree expansion formulae; cluster expansion; Mayer expansion

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]; Combinatoire [math.CO]

Abdelmalek Abdesselam, V. Rivasseau. Trees, forests and jungles: a botanical garden for cluster expansions. 1994. ⟨hal-00087611⟩