Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit Theorems in the Imitative Monomer-Dimer Mean-Field Model via
  Stein's Method   We consider the imitative monomer-dimer model on the complete graph
introduced in [1]. It was understood that this model is described by the
monomer density and has a phase transition along certain critical line. By
reverting the model to a weighted Curie-Weiss model with hard core interaction,
we establish the complete description of the fluctuation properties of the
monomer density on the full parameter space via Stein's method of exchangeable
pairs. We show that this quantity exhibits the central limit theorem away from
the critical line and enjoys a non-normal limit theorem at criticality with
normalized exponent $3/4$. Furthermore, our approach also allows to obtain the
conditional central limit theorems along the critical line. In all these
results, the Berry-Esseen inequalities for the Kolomogorov-Smirnov distance are
given.

36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin