Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic rays of bounded-type entire functions   We construct an entire function in the Eremenko-Lyubich class $\B$ whose
Julia set has only bounded path-components. This answers a question of Eremenko
from 1989 in the negative.
  On the other hand, we show that for many functions in $\B$, in particular
those of finite order, every escaping point can be connected to $\infty$ by a
curve of escaping points. This gives a partial positive answer to the
aforementioned question of Eremenko, and answers a question of Fatou from 1926.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat