Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transcendental Julia Sets of Minimal Hausdorff Dimension   We show the existence of transcendental entire functions $f: \mathbb{C}
\rightarrow \mathbb{C}$ with Hausdorff-dimension $1$ Julia sets, such that
every Fatou component of $f$ has infinite inner connectivity. We also show that
there exist singleton complementary components of any Fatou component of $f$,
answering a question of Rippon and Stallard (arXiv:1703.11001). Our proof
relies on a quasiconformal-surgery approach developed in arXiv:2101.04219.

24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph