Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Criterion for rays landing together   We give a criterion to determine when two external rays land at the same
point for polynomials with locally connected Julia sets. As an application, we
provide an elementary proof of the monotonicity of the core entropy along
arbitrary veins of the Mandelbrot set.

0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ