Cluster expansion for abstract polymer models. New bounds from an old approach
R. Fernandez, и A. Procacci. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Аннотация
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
}