Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algorithm to compute CVTs for finitely generated Cantor distributions   Centroidal Voronoi tessellations (CVTs) are Voronoi tessellations of a region
such that the generating points of the tessellations are also the centroids of
the corresponding Voronoi regions with respect to a given probability measure.
CVT is a fundamental notion that has a wide spectrum of applications in
computational science and engineering. In this paper, an algorithm is given to
obtain the CVTs with $n$-generators to level $m$, for any positive integers $m$
and $n$, of any Cantor set generated by a pair of self-similar mappings given
by $S_1(x)=r_1x$ and $S_2(x)=r_2x+(1-r_2)$ for $x\in \mathbb R$, where $r_1,
r_2>0$ and $r_1+r_2<1$, with respect to any probability distribution $P$ such
that $P=p_1 P\circ S_1^{-1}+p_2 P\circ S_2^{-1}$, where $p_1, p_2>0$ and
$p_1+p_2=1$.

34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol