Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Plane trees, Shabat-Zapponi polynomials and Julia sets   A tree, embedded into plane, is a dessin d'enfant and its Belyi function is a
polynomial --- Shabat polynomial. The Zapponi form of this polynomial is
unique, so we can correspond to an embedded tree the Julia set of its
Shabat-Zapponi polynomial. In this purely experimental work we study relations
between the form of a tree and properties (form, connectedness, Hausdorff
dimension) of its Julia set.

18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys