Cluster expansion for abstract polymer models. New bounds from an old approach
R. Fernandez, and A. Procacci. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
We revisit the classical approach to cluster expansions,
based on tree graphs, and establish
a new convergence condition that
improves those by Koteck´y-Preiss and Dobrushin, as we
show in some examples. The strategy is to better exploit a well known tree-graph expression, due to Penrose.
%0 Book Section
%1 statphys23_0008
%A Fernandez, R.
%A Procacci, A.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K abstract cluster expansion model polymer statphys23 topic-1
%T Cluster expansion for abstract polymer models. New bounds from an old approach
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=8
%X We revisit the classical approach to cluster expansions,
based on tree graphs, and establish
a new convergence condition that
improves those by Koteck´y-Preiss and Dobrushin, as we
show in some examples. The strategy is to better exploit a well known tree-graph expression, due to Penrose.
@incollection{statphys23_0008,
abstract = {We revisit the classical approach to cluster expansions,
based on tree graphs, and establish
a new convergence condition that
improves those by Koteck´y-Preiss and Dobrushin, as we
show in some examples. The strategy is to better exploit a well known tree-graph expression, due to Penrose.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Fernandez, R. and Procacci, A.},
biburl = {https://www.bibsonomy.org/bibtex/2346402cc8bc769fb6673ae90ab323406/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {410791eba030d708149ddf9e19d01d58},
intrahash = {346402cc8bc769fb6673ae90ab323406},
keywords = {abstract cluster expansion model polymer statphys23 topic-1},
month = {9-13 July},
timestamp = {2007-06-20T10:16:09.000+0200},
title = {Cluster expansion for abstract polymer models. New bounds from an old approach},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=8},
year = 2007
}