Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Levy multiplicative chaos and star scale invariant random measures   In this article, we consider the continuous analog of the celebrated
Mandelbrot star equation with infinitely divisible weights. Mandelbrot
introduced this equation to characterize the law of multiplicative cascades. We
show existence and uniqueness of measures satisfying the aforementioned
continuous equation. We obtain an explicit characterization of the structure of
these measures, which reflects the constraints imposed by the continuous
setting. In particular, we show that the continuous equation enjoys some
specific properties that do not appear in the discrete star equation. To that
purpose, we define a L\'{e}vy multiplicative chaos that generalizes the already
existing constructions.

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The categories of this paper are: ao-sci
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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: econ
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph