Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic entropy for algebraic maps   We propose an extension of the concept of algebraic entropy, as introduced by
Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of
a certain kind. The corresponding entropy is an index of the complexity of the
map. The definition inherits the basic properties from the definition of
entropy for rational maps. We give an example with positive entropy, as well as
two examples taken from the theory of Backlund transformations.

16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc