Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower bounds for fractal dimensions of spectral measures of the period
  doubling Schr\"odinger operator   It is shown that there exits a lower bound $\alpha>0$ to the Hausdorff
dimension of the spectral measures of the one-dimensional period doubling
substitution Schr\"odinger operator, and, generically in the hull of such
sequence, $\alpha$ is also a lower bound to the upper packing dimension of
spectral measures.

4
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: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an