Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cluster expansions with renormalized activities and applications to
  colloids   We consider a binary system of small and large objects in the continuous
space interacting via a non-negative potential. By integrating over the small
objects, the effective interaction between the large ones becomes multi-body.
We prove convergence of the cluster expansion for the grand canonical ensemble
of the effective system of large objects. To perform the combinatorial estimate
of hypergraphs (due to the multi-body origin of the interaction) we exploit the
underlying structure of the original binary system. Moreover, we obtain a
sufficient condition for convergence which involves the surface of the large
objects rather than their volume. This amounts to a significant improvement in
comparison to a direct application of the known cluster expansion theorems. Our
result is valid for the particular case of hard spheres (colloids) for which we
rigorously treat the depletion interaction.

16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs