Brownian 2π/3-cone excursions contain a growth-fragmentation process whose law is exactly X_{3/2}, yielding new Brownian proofs of SLE6 and LQG boundary length properties.
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Growth-fragmentations, Brownian cone excursions and SLE(6) explorations of a quantum disc
Brownian 2π/3-cone excursions contain a growth-fragmentation process whose law is exactly X_{3/2}, yielding new Brownian proofs of SLE6 and LQG boundary length properties.