Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of (Pseudo) Automorphisms of 3-space: Periodicity versus
  positive entropy   We study the iterative behavior of the family of 3-step linear fractional
recurrences and the family of birational maps they define. We determine all the
possible periodicities within this family or, equivalently, the birational maps
of finite order. This family also contains pseudo-automorphisms of infinite
order. One such family consists of completely integrable maps, and another
family consists of maps of positive entropy. Both of these families have
invariant families of $K3$ surfaces.

34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph