Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Tsirelson's theorem about triple points for harmonic measure   A theorem of Tsirelson from 1997 asserts that given three disjoint domains in
$\mathbb R^{n+1}$, the set of triple points belonging to the intersection of
the three boundaries where the three corresponding harmonic measures are
mutually absolutely continuous has null harmonic measure. The original proof by
Tsirelson is based on the fine analysis of filtrations for Brownian and
Walsh-Brownian motions and can not be translated into potential theory
arguments. In the present paper we give a purely analytical proof of the same
result.

13
The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom