Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hausdorff, Large Deviation and Legendre Multifractal Spectra of L\'evy
  Multistable Processes   We compute the Hausdorff multifractal spectrum of two versions of multistable
L{\'e}vy motions. These processes extend classical L{\'e}vy motion by letting
the stability exponent $\alpha$ evolve in time. The spectra provide a
decomposition of [0, 1] into an uncountable disjoint union of sets with
Hausdorff dimension one. We also compute the increments-based large deviations
multifractal spectrum of the independent in-crements multistable L{\'e}vy
motion. This spectrum turns out to be concave and thus coincides with the
Legendre multifractal spectrum, but it is different from the Haus-dorff
multifractal spectrum. The independent increments multistable L{\'e}vy motion
thus provides an example where the strong multifractal formalism does not hold.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas