Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bipolar oriented random planar maps with large faces and exotic
  SLE$_\kappa(\rho)$ processes   We consider bipolar oriented random planar maps with heavy-tailed face
degrees. We show for each $\alpha \in (1,2)$ that if the face degree is in the
domain of attraction of an $\alpha$-stable L\'evy process, the corresponding
random planar map has an infinite volume limit in the Benjamini-Schramm
topology. We also show in the limit that the properly rescaled contour
functions associated with the northwest and southeast trees converge in law to
a certain correlated pair of $\alpha$-stable L\'evy processes. Combined with
other work, this allows us to identify the scaling limit of the planar map with
an SLE$_\kappa(\rho)$ process with $\rho = \kappa-4 < -2$ on
$\sqrt{\kappa}$-Liouville quantum gravity for $\kappa \in (4/3,2)$ where
$\alpha, \kappa$ are related by $\alpha = 4/\kappa-1$.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci