Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sliding possibility of the Julia sets   A. Sannami constructed an example of the differentiable Cantor set embedded
in the real line whose difference set has a positive measure. In this paper, we
generalize the definition of the difference sets for sets of the two
dimensional Euclidean space as the sets of vectors between two sets, and
estimate their measures. For the quadratic map Q_c(z)=z^2+c, we obtain that the
measure of the difference set of its Julia set vanishes if |c|>3+sqrt{3}.

9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph