Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cylinder renormalization of Siegel disks   We study one of the central open questions in one-dimensional renormalization
theory -- the conjectural universality of golden-mean Siegel disks. We present
an approach to the problem based on cylinder renormalization proposed by the
second author. Numerical implementation of this approach relies on the
Constructive Measurable Riemann Mapping Theorem proved by the first author. Our
numerical study yields a convincing evidence to support the Hyperbolicity
Conjecture in this setting.

29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org