Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphons, permutons and the Thoma simplex: three mod-Gaussian moduli
  spaces   In this paper, we show how to use the framework of mod-Gaussian convergence
in order to study the fluctuations of certain models of random graphs, of
random permutations and of random integer partitions. We prove that, in these
three frameworks, a generic homogeneous observable of a generic random model is
mod-Gaussian under an appropriate renormalisation. This implies a central limit
theorem with an extended zone of normality, a moderate deviation principle, an
estimate of the speed of convergence, a local limit theorem and a concentration
inequality. The universal asymptotic behavior of the observables of these
models gives rise to a notion of mod-Gaussian moduli space.

6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph