Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Applications of Finite Fields to Dynamical Systems and Reverse
  Engineering Problems   We present a mathematical model: dynamical systems over finite sets (DSF),
and we show that Boolean and discrete genetic models are special cases of DFS.
In this paper, we prove that a function defined over finite sets with different
number of elements can be represented as a polynomial function over a finite
field. Given the data of a function defined over different finite sets, we
describe an algorithm to obtain all the polynomial functions associated to this
data. As a consequence, all the functions defined in a regulatory network can
be represented as a polynomial function in one variable or in several variables
over a finite field. We apply these results to study the reverse engineering
problem.

33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex