Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a family of singular continuous measures related to the doubling map   Here, we study some measures that can be represented by infinite Riesz
products of 1-periodic functions and are related to the doubling map. We show
that these measures are purely singular continuous with respect to Lebesgue
measure and that their distribution functions satisfy super-polynomial
asymptotics near the origin, thus providing a family of extremal examples of
singular measures, including the Thue--Morse measure.

36
The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph