Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Herman's Theory Revisited (Extension)   We prove that a $C^{3+\beta}$-smooth orientation-preserving circle
diffeomorphism with rotation number in Diophantine class $D_\delta$,
$0<\beta<\delta<1$, is $C^{2+\beta-\delta}$-smoothly conjugate to a rigid
rotation.

3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph