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• W2025426256 abstract "In the recursive lamination of the disk, one tries to add chords one after another at random; a chord is kept and inserted if it does not intersect any of the previously inserted ones. Curien and Le Gall [Ann. Probab. 39 (2011) 2224–2270] have proved that the set of chords converges to a limit triangulation of the disk encoded by a continuous process $mathscr{M}$. Based on a new approach resembling ideas from the so-called contraction method in function spaces, we prove that, when properly rescaled, the planar dual of the discrete lamination converges almost surely in the Gromov–Hausdorff sense to a limit real tree $mathscr{T}$, which is encoded by $mathscr{M}$. This confirms a conjecture of Curien and Le Gall." @default.
• W2025426256 created "2016-06-24" @default.
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• W2025426256 date "2015-03-01" @default.
• W2025426256 modified "2023-09-30" @default.
• W2025426256 title "The dual tree of a recursive triangulation of the disk" @default.
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• W2025426256 doi "https://doi.org/10.1214/13-aop894" @default.
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