Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differentiable equivalence of fractional linear maps   A Moebius system is an ergodic fibred system $(B,T)$ (see \citer5) defined on
an interval $B=[a,b]$ with partition $(J_k),k\in I,#I\geq 2$ such that
$Tx=\frac{c_k+d_kx}{a_k+b_kx}$, $x\in J_k$ and $T|_{J_k}$ is a bijective map
from $J_k$ onto $B$. It is well known that for $#I=2$ the invariant density can
be written in the form $h(x)=\int_{B^*}\frac{dy}{(1+xy)^2}$ where $B^*$ is a
suitable interval. This result does not hold for $#I\geq 3$. However, in this
paper for $#I=3$ two classes of interval maps are determined which allow the
extension of the before mentioned result.

31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex