Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Information retrieval and structural complexity of legal trees   We introduce a model for the retrieval of information hidden in legal texts.
These are typically organised in a hierarchical (tree) structure, which a
reader interested in a given provision needs to explore down to the "deepest"
level (articles, clauses,...). We assess the structural complexity of legal
trees by computing the mean first-passage time a random reader takes to
retrieve information planted in the leaves. The reader is assumed to skim
through the content of a legal text based on their interests/keywords, and be
drawn towards the sought information based on keywords affinity, i.e. how well
the Chapters/Section headers of the hierarchy seem to match the informational
content of the leaves. Using randomly generated keyword patterns, we
investigate the effect of two main features of the text -- the horizontal and
vertical coherence -- on the searching time, and consider ways to validate our
results using real legal texts. We obtain numerical and analytical results, the
latter based on a mean-field approximation on the level of patterns, which lead
to an explicit expression for the complexity of legal trees as a function of
the structural parameters of the model. Policy implications of our results are
briefly discussed.

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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas