Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The largest fragment of a homogeneous fragmentation process   We show that in homogeneous fragmentation processes the largest fragment at
time $t$ has size $e^{-t \Phi'(\bar{p})}t^{-\frac32 (\log
\Phi)'(\bar{p})+o(1)},$ where $\Phi$ is the L\'evy exponent of the
fragmentation process, and $\bar{p}$ is the unique solution of the equation
$(\log \Phi)'(\bar{p})=\frac1{1+\bar{p}}$. We argue that this result is in line
with predictions arising from the classification of homogeneous fragmentation
processes as logarithmically correlated random fields.

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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: physics