Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean-Field Monomer-Dimer models. A review   A collection of rigorous results for a class of mean-field monomer-dimer
models is presented. It includes a Gaussian representation for the partition
function that is shown to considerably simplify the proofs. The solutions of
the quenched diluted case and the random monomer case are explained. The
presence of the attractive component of the Van der Waals potential is
considered and the coexistence phase coexistence transition analysed. In
particular the breakdown of the central limit theorem is illustrated at the
critical point where a non Gaussian, quartic exponential distribution is found
for the number of monomers centered and rescaled with the volume to the power
3/4.

26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs