A recursive distribution equation for the stable tree

We provide a new characterisation of Duquesne and Le Gall's $\alpha$-stable tree, $\alpha\in(1,2]$, as the solution of a recursive distribution equation (RDE) of the form $\mathcal{T}\overset{d}{=}g(\xi,\mathcal{T}_i, i\geq0)$, where $g$ is a concatenation operator, $\xi = (\xi_i, i\geq 0)$ a s...

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Bibliographic Details
Main Authors: Chee, N, Rembart, F, Winkel, M
Format: Journal article
Language:English
Published: Bernoulli Society for Mathematical Statistics and Probability 2024