Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Attractor of Renormalization and Rigidity of Towers of Critical
  Circle Maps   We demonstrate the existence of a global attractor A with a Cantor set
structure for the renormalization of critical circle mappings. The set A is
invariant under a generalized renormalization transformation, whose action on A
is conjugate to the two-sided shift.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas