Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Escaping set and Julia set of transcendental semigroups   We discuss the dynamics of semigroups of transcendental entire functions
using Fatou-Julia theory and provide a condition for the complete invariance of
escaping set and Julia set of transcendental semigroups. Results regarding
limit functions and postsingular set are also derived. In addition, classes of
hyperbolic and postsingularly bounded transcendental semigroups are given. We
also provide certain criterion for non existence of wandering domains of
transcendental semigroups.

15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat