- 99-471 A. Bovier and M. Zahradnik
- A simple inductive approach to the problem of convergence
of cluster expansions of polymer models
Dec 7, 99
(auto. generated ps),
of related papers
Abstract. We explain a simple inductive method for the analysis of the
convergence of cluster expansions (Taylor expansions, Mayer expansions)
for the partition functions of ``polymer models''.
We give a very simple proof of the
``Dobrushin-- Koteck\'y--Preiss criterion''
and formulate its generalization usable for situations
where a successive expansion of the partition function
%(e.g. organized w.r. to a growing size of the polymers
%allowed for an expansion)
has to be used.