Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Which sequences are orbits?   In the study of discrete dynamical systems, we typically start with a
function from a space into itself, and ask questions about the properties of
sequences of iterates of the function. In this paper we reverse the direction
of this study. In particular, restricting to the complex plane, we start with a
sequence of complex numbers and study the functions (if any) for which this
sequence is an orbit under iteration. This gives rise to questions of existence
and of uniqueness. We resolve some questions, and show that these issues can be
quite delicate.

21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph