Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distribution of repetitions of ancestors in genealogical trees   We calculate the probability distribution of repetitions of ancestors in a
genealogical tree for simple neutral models of a closed population with sexual
reproduction and non-overlapping generations. Each ancestor at generation g in
the past has a weight w which is (up to a normalization) the number of times
this ancestor appears in the genealogical tree of an individual at present. The
distribution P_g(w) of these weights reaches a stationary shape P_\infty(w) for
large g, i.e. for a large number of generations back in the past. For small w,
P_\infty(w) is a power law with a non-trivial exponent which can be computed
exactly using a standard procedure of the renormalization group approach. Some
extensions of the model are discussed and the effect of these variants on the
shape of P_\infty(w) are analysed.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph