Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Good elliptic operators on Cantor sets   It is well known that a purely unrectifiable set cannot support a harmonic
measure which is absolutely continuous with respect to the Hausdorff measure of
this set. We show that nonetheless there exist elliptic operators on (purely
unrectifiable) Cantor sets in ${\mathbb{R}}^2$ whose elliptic measure is
absolutely continuous, and in fact, essentially proportional to the Hausdorff
measure.

24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph