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math.PR2025
Growing Self-Similar Markov Trees
Nicolas Curien, William Fleurat, Adrianus Twigt
Can we obtain a Brownian CRT of mass from a CRT of mass by cutting certain branches? In this paper, we will answer that question in the much more general setting of self-…
math.PR2025
A Tauberian approach to metric scaling limits of random discrete structures, with an application to random planar maps
William Fleurat
We prove sandwich theorems and a Tauberian theorem in the space of compact metric measure spaces, endowed with the Gromov-Hausdorff-Prokhorov (GHP) topology. These results hold wit…
math.PR2024
Growing conditioned BGW trees with log-concave offspring distributions
William Fleurat
We show that given a log-concave offspring distribution, the corresponding sequence of Bienaymé-Galton-Watson trees conditioned to have vertices admits a realization as a…