Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A universality result for subcritical Complex Gaussian Multiplicative
  Chaos   In the present paper, we show that (under some minor technical assumption)
Complex Gaussian Multiplicative Chaos defined as the complex exponential of a
$\log$-correlated Gaussian field can be obtained by taking the limit of the
exponential of the field convoluted with a smoothing Kernel. We consider two
types of chaos: $e^{\gamma X}$ for a log correlated field $X$ and
$\gamma=\alpha+i\beta$, $\alpha, \beta\in \mathbb R$ and $e^{\alpha X+i\beta
Y}$ for $X$ and $Y$ two independent fields with $\alpha, \beta\in \mathbb R$.
Our result is valid in the range
  $$ \mathcal O_{\mathrm{sub}}:=\{ \alpha^2+\beta^2<d \} \cup \{ |\alpha|\in
(\sqrt{d/2},\sqrt{2d} ) \text{ and } |\beta|< \sqrt{2d}-|\alpha| \},$$ which,
up to boundary, is conjectured to be optimal.

24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci