A binary embedding of the stable line-breaking construction

نویسندگان

چکیده

We embed Duquesne and Le Gall’s stable tree into a binary compact continuum random (CRT) in way that solves an open problem posed by Goldschmidt Haas. This CRT can be obtained applying recursive construction method of CRTs as presented earlier work to specific distribution string beads, i.e. interval equipped with discrete measure. also express this built replacing all branch points i.i.d. copies Ford CRT, each rescaled factor intrinsic the CRT.

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ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2023

ISSN: ['1879-209X', '0304-4149']

DOI: https://doi.org/10.1016/j.spa.2023.06.007