Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant measures for continued fraction algorithms with finitely many
  digits   In this paper we consider continued fraction (CF) expansions on intervals
different from $[0,1]$. For every $x$ in such interval we find a CF expansion
with a finite number of possible digits. Using the natural extension, the
density of the invariant measure is obtained in a number of examples. In case
this method does not work, a Gauss-Kuzmin-L\'evy based approximation method is
used. Finally, a subfamily of the $N$-expansions is studied. In particular, the
entropy as a function of a parameter $\alpha$ is estimated for $N=2$ and
$N=36$. Interesting behavior can be observed from numerical results.

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The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat