Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing multidimensional periodic continued fractions in the sense
  of Klein   We consider the geometric generalization of ordinary continued fraction to
the multidimensional case introduced by F. Klein in 1895. A multidimensional
periodic continued fraction is the union of sails with some special group
acting freely on these sails. This group transposes the faces. In this article,
we present a method of constructing "approximate" fundamental domains of
algebraic multidimensional continued fractions and an algorithm testing whether
this domain is indeed fundamental or not. We give some polynomial estimates on
number of the operations for the algorithm. In conclusion we present an example
of fundamental domains calculation for a two-dimensional series of
two-dimensional periodic continued fractions.

32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom