Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A binary embedding of the stable line-breaking construction   We embed Duquesne and Le Gall's stable tree into a binary compact continuum
random tree (CRT) in a way that solves an open problem posed by Goldschmidt and
Haas. This CRT can be obtained by applying a recursive construction method of
compact CRTs as presented in earlier work to a specific distribution of a
random string of beads, i.e. a random interval equipped with a random discrete
measure. We also express this CRT as a tree built by replacing all branch
points of a stable tree by rescaled i.i.d. copies of a Ford CRT. Some of these
developments are carried out in a space of infinity-marked metric spaces
generalising Miermont's notion of a k-marked metric space.

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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin