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math.PR2026
Rémy's diffusion on Brownian trees
Nicolas Curien, Cyril Marzouk
Rémy's algorithm is a famous recursive construction of uniform random binary trees of growing size by a local grafting operation. In this work we construct a continuous version, a…
math.PR2026
Critical Self-Similar Markov Trees
Nicolas Curien, Xingjian Hu, Dongjian Qian
Recently introduced and studied in arXiv:2407.07888, a self-similar Markov tree (ssMt) is a random decorated tree that vastly generalises the fragmentation tree. We study here the…