Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Attractors associated to a family of hyperbolic $p$-adic plane
  automorphisms   We consider a certain two-parameter family of automorphisms of the affine
plane over a complete, locally compact non-Archimedean field. Each of these
automorphisms admits a chaotic attractor on which it is topologically conjugate
to a full two-sided shift map, and the attractor supports a unit Borel measure
which describes the distribution of the forward orbit of Haar-almost all points
in the basin of attraction. We also compute the Hausdorff dimension of the
attractor, which is non-integral.

35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con