Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Estimates of the Density of the Purely Discontinuous Girsanov
  Transforms of $\alpha$-Stable-like Processes   In this paper, we study the purely discontinuous Girsanov transforms which
were discussed in Chen and Song \cite{CS2} and Song \cite{S3}. We show that the
transition density of any purely discontinuous Girsanov transform of a
$\alpha$-stable-like process, which can be nonsymmetric, is comparable to the
transition density of the $\alpha$-stable-like process.

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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys