Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Central limit theorems for supercritical superprocesses with immigration   In this paper, we establish a central limit theorem for a large class of
general supercritical superprocesses with immigration with spatially dependent
branching mechanisms satisfying a second moment condition. This central limit
theorem extends and generalizes the results obtained by Ren, Song and
Zhang[2015]. We first give law of large numbers for supercritical
superprocesses with immigration since there is few convergence result on
immigration superprocesses, then based on these results, we establish the
central limit theorem.

3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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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: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol