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.
Publié le : 1994-07-05
Classification:
tree expansion formulae,
cluster expansion,
Mayer expansion,
MSC: 81T08;82B28;81T17; 05A19,
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th],
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
@article{hal-00087611,
author = {Abdesselam, A. and Rivasseau, V.},
title = {Trees, forests and jungles: a botanical garden for cluster expansions},
journal = {HAL},
volume = {1994},
number = {0},
year = {1994},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00087611}
}
Abdesselam, A.; Rivasseau, V. Trees, forests and jungles: a botanical garden for cluster expansions. HAL, Tome 1994 (1994) no. 0, . http://gdmltest.u-ga.fr/item/hal-00087611/