Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Survival Probabilities for N-ary Subtrees on a Galton-Watson Family Tree   The family tree of a Galton-Watson branching process may contain N-ary
subtrees, i.e. subtrees whose vertices have at least N>0 children. For family
trees without infinite N-ary subtrees, we study how fast N-ary subtrees of
height t disappear as t goes to infinity.

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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph