Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit Theorems for Some Critical Superprocesses   In this paper we establish some conditional limit theorems for some critical
superprocesses $X=\{X_t, t\ge 0\}$. First we identify the rate of
non-extinction. Then we show that, for a large class of functions $f$,
conditioned on non-extinction at time $t$, the limit, as $t\to\infty$, of
$t^{-1}\langle f, X_t\rangle$ exists in distribution and we identify this
limit. Finally, we also establish, under some conditions, a central limit
theorem for $\langle f, X_t\rangle$ conditioned on non-extinction at time $t$.

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The categories of this paper are: adap-org
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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: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph