Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harnack Inequalities for Ornstein-Uhlenbeck Processes Driven by L\'{e}vy
  Processes   By using the existing sharp estimates of density function for rotationally
invariant symmetric $\alpha$-stable L\'{e}vy processes and rotationally
invariant symmetric truncated $\alpha$-stable L\'{e}vy processes, we obtain
that Harnack inequalities hold for rotationally invariant symmetric
$\alpha$-stable L\'{e}vy processes with $\alpha\in(0,2)$ and Ornstein-Uhlenbeck
processes driven by rotationally invariant symmetric $\alpha$-stable L\'{e}vy
process, while logarithmic Harnack inequalities are satisfied for rotationally
invariant symmetric truncated $\alpha$-stable L\'{e}vy processes.

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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th