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math.PR2026
Sweet Trims are made of Threes: A cà dlà g erasure of the Brownian tree
Alessandra Caraceni, Nicolas Curien, William Fleurat +1
We present a simple trimming algorithm that generates nested uniform binary plane trees by removing leaves one-by-one using a best-of-three-match procedure. While its one-step tran…
math.PR2024
Geodesics in planar Poisson roads random metric
Guillaume Blanc, Nicolas Curien, Jonas Kahn
We study the structure of geodesics in the fractal random metric constructed by Kendall from a self-similar Poisson process of roads (i.e, lines with speed limits) in $\mathbb{R}^2…