Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Green function with pole at infinity applied to the study of the
  elliptic measure   In $\mathbb R^{d+1}_+$ or in $\mathbb R^n\setminus \mathbb R^d$ ($d<n-1$), we
study the Green function with pole at infinity introduced by David, Engelstein,
and Mayboroda. In two cases, we deduce the equivalence between the elliptic
measure and the Lebesgue measure on $\mathbb R^d$; and we further prove the
$A_\infty$-absolute continuity of the elliptic measure for operators that can
be related to the two previous cases via Carleson measures, extending the range
of operators for which the $A_\infty$-absolute continuity of the elliptic
measure is known.

23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph