Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ranked Fragmentations   In this paper we define and study self-similar ranked fragmentations. We
first show that any ranked fragmentation is the image of some partition-valued
fragmentation, and that there is in fact a one-to-one correspondence between
the laws of these two types of fragmentations. We then give an explicit
construction of homogeneous ranked fragmentations in terms of Poisson point
processes. Finally we use this construction and classical results on records of
Poisson point processes to study the small-time behavior of a ranked
fragmentation.

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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio