Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Hausdorff dimension of invariant measures for multicritical
  circle maps   We give explicit bounds for the Hausdorff dimension of the unique invariant
measure of $C^3$ multicritical circle maps without periodic points. These
bounds depend only on the arithmetic properties of the rotation number.

0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th