Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mating the Basilica with a Siegel Disk   Consider a quadratic polynomial with a fixed Siegel disc of bounded type.
Using an adaptation of complex a priori bounds for critical circle maps, we
prove that this Siegel polynomial is conformally mateable with the basilica
polynomial.

32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th