Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic entropy   For any discrete time dynamical system with a rational evolution, we define
an entropy, which is a global index of complexity for the evolution map. We
analyze its basic properties and its relations to the singularities and the
irreversibility of the map. We indicate how it can be exactly calculated.

34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga