Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Type A Distributions: Infinitely Divisible Distributions Related to
  Arcsine Density   Two transformations $\mathcal{A}_{1}$ and $\mathcal{A}_{2}$ of L\'{e}vy
measures on $\mathbb{R}^{d}$ based on the arcsine density are studied and their
relation to general Upsilon transformations is considered. The domains of
definition of $\mathcal{A}_{1}$ and $\mathcal{A}_{2}$ are determined and it is
shown that they have the same range. Infinitely divisible distributions on
$\mathbb{R}^{d}$ with L\'{e}vy measures being in the common range are called
type $A$ distributions and expressed as the law of a stochastic integral
$\int_0^1\cos (2^{-1}\pi t)dX_t$ with respect to L\'{e}vy process $\{X_t\}$. \
This new class includes as a proper subclass the Jurek class of distributions.
It is shown that generalized type $G$ distributions are the image of type $A$
distributions under a mapping defined by an appropriate stochastic integral.
$\mathcal{A}_{2}$ is identified as an Upsilon transformation, while
$\mathcal{A}_{1}$ is shown to be not.

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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con