Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral properties of fractional Fokker-Plank operator for the L\'evy
  flight in a harmonic potential   We present a detailed analysis of the eigenfunctions of the Fokker-Planck
operator for the L\'evy-Ornstein-Uhlenbeck process, their asymptotic behavior
and recurrence relations, explicit expressions in coordinate space for the
special cases of the Ornstein-Uhlenbeck process with Gaussian and with Cauchy
white noise and for the transformation kernel, which maps the fractional
Fokker-Planck operator of the Cauchy-Ornstein-Uhlenbeck process to the
non-fractional Fokker-Planck operator of the usual Gaussian Ornstein-Uhlenbeck
process. We also describe how non-spectral relaxation can be observed in
bounded random variables of the L\'evy-Ornstein-Uhlenbeck process and their
correlation functions.

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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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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: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci